ࡱ> Z\Yt` Pbjbjss *FVVVVZZZn44445dnP25F@<@<@<<}D}D}DOOOOOOO$DQhSOZ}DB}D}D}DOVV@<<O'G'G'G}DdV@<pZ<O'G}DO'G'GVN@JZmO<5 -K4D$N OO0PNxVTFVTmOVTZmO$}D}D'G}D}D}D}D}DOOG}D}D}DP}D}D}D}Dnnn'r,Dnnnr,nnnVVVVVV Section 5: Transforming Exponential Functions, and A Different Look at Linear Functions ~Teacher Notes Objective 1: Students will be able to make an accurate sketch of vertically shifted and/or reflected exponential functions, and to identify the equation of a base two exponential function from its graph. This section will focus on a rather limited group of exponential functions: ones that always use the base of 2, and have only been transformed with a vertical shift and/or a reflection across the x-axis. As with other function families and their transformations, the goal is to be able to make an accurate sketch given the equation, and to identify the equation given a sketch. Have students read aloud as a class the Important Informational Introduction before setting them out on the exploration, and allow for discussion of the points mentioned. Specifically, i) 2 is the smallest practical integer for a base, because 1x would simply be a horizontal line; ii) a useless transformation? Observe:  EMBED Equation.3  So you can see that horizontal shifting and vertical stretching overlap, making horizontal shifting somewhat pointless. Teachers should decide whether or not they want to reveal this quirk about exponential functions, or let sleeping dogs lie, but to continue, iii) students may aver that the y-intercept seems like a useful locator point, but you can demonstrate that it changes when a changes, or when a different base is used, and finally, iv) if humans do not fully recognize the connections of population growth, economics, resource depletion, radioactive half-life, etc with the mathematics of exponential functions, our survival is surely even more in jeopardy. Exploring Exponential Functions approaches the exponential function in much the same way that the other activities do, but as mentioned in the I.I.I. this section only deals with vertical shifting and reflections. Teachers should note that in #4 were looking for the recognition that the asymptote is also shifted up along with everything else. Question #10 can be answered correctly both ways; it really doesnt matter if the graph is reflected and then shifted, or vice-versa, however if the shift is done first, then the reflection isnt across the x-axis, its across the asymptote. To keep the idea of reflecting across the x-axis intact, teachers may stress that order of operations would suggest reflecting first, then shifting. This idea is also explored in the practice problems. Finally, students may need some assurance with problems like 11d or 12b that its ok if the constant precedes the base in the equation. See Exploring Exponential Functions * * * In Practice 5.1 we give students more opportunity to practice identifying the horizontal asymptote, graphing, and writing equations See Practice 5.1  Objective 2: Students will analyze, transform and identify linear functions in a modified point-slope form, and recognize its similarity to other graphing forms. In this section we look at the point-slope form for a linear equation and modify it slightly to closely resemble the graphing forms used previously in the unit. A New Look at Linear Functions explains to students the modifications that change  EMBED Equation into EMBED Equation . This is a strictly informational section, with no student activity required. The class can move directly into the practice problems after discussing A New Look at Linear Functions. We make the point here that in the graphing forms, the letters h and k are used for the coordinates of a special point on the curve, be it the vertex or inflection point, and the letter a controls the rate of increase or decrease of the function. This is exactly the function of x1, y1, and m, respectively, in the point-slope linear function and with a very small algebraic adjustment point-slope is turned into the graphing form used in this unit. Since it is linear, of course the exponent of the quantity (x h) is one. We are not advocating permanently altering point-slope form, but simply demonstrating how it is not that much different from what weve been focusing on this unit, and hopefully making point-slope seem a little more useful and friendly in the process. The practice problems for this section ask students to look at linear functions in much the same way that traditional textbooks do, but within the context of function transformations. The phrase modified point-slope form refers to EMBED Equation . Teachers can give their students struggling with problems in Part 3 the tip of first identifying the slope, then tracing out the described path of the y-intercept to arrive at the point (h, k). See A New Look at Linear Functions, and Practice 5.2 There is also a Team Test of the whole Function Transformations Unit, as well as a solo graphing test. FTU/Section 5/Teacher Notes Exploring Exponential Functions Important Informational Introduction Exponential functions are similar to the other function families that weve discussed in the sense that their equations can be written to show vertical and horizontal shifts, reflections across the x-axis, and vertical stretches or compressions. We will use the basic parent graph equation of  EMBED Equation.3 . (Its true that some other number could be used for the base, but 2 is the smallest integer that can be used for this function. What do you think would happen if we used 1 instead of 2?) It probably wouldnt surprise you much to learn therefore, that the general graphing form for this family might be written as: (1)  EMBED Equation.3  As with the other functions a stretches or compresses the graph or reflects it across the x-axis, h controls horizontal shift, and k controls vertical shift. However, exponential functions have some interesting quirks about them that make some transformations rather tricky or even useless. Also, the concept of a locator point is of limited value with exponentials. Exponentials are an extremely important family of functions, so much so that it would not be an exaggeration to say that the survival of our species depends on an understanding of exponential functions! Therefore, they will be treated more thoroughly and with more detail in future chapters and in future math courses. This introduction to exponential functions will be limited to just two types of transformations: vertical shifting and reflecting across the x-axis. Therefore a will always equal 1 or -1. For a locator we will use the most identifiable feature of the exponential graph: the horizontal asymptote. Directions: Work with one or two other students and a graphing calculator and answer all questions with complete sentences wherever appropriate. Make your sketches reasonably accurate. 1. In the suggested equation form above (1), which of the three controls (a, h, or k) determines how far and which direction a function is vertically shifted? ______________ Which determines a reflection across the x-axis? _______________ 2. Enter the equation  EMBED Equation . Describe the shape of the graph and especially comment about the left-hand portion of the graph. Why do you think it appears this way? ______________________ _______________________________________________________________________________3. Change your equation so that the graph of  EMBED Equation is shifted up 3units. What is the new equation?__________________________________________________ 4. Now describe what the left-hand portion of the graph looks like. _________________________ _______________________________________________________________________________5. How would you change the equation to make the graph reflect across the x-axis? _______________________________________________________________________________ 6. Add the equation  EMBED Equation  in the graphing calculator. How does this graph relate to the exponential? ____________________________________________________________________ _______________________________________________________________________________ 7. The left-hand portion of this exponential graph flattens out to be practically indistinguishable from the line  EMBED Equation . If you could draw an impossibly fine line with impossibly high precision you would notice that the curve gets closer and closer to the line, but they never actually touch, no matter how far you went to the left. Any line that a function gets closer and closer to is called an asymptote for that function. The line  EMBED Equation  is the horizontal asymptote for the graph of  EMBED Equation . 8. Now enter the function  EMBED Equation  in the graphing calculator. What appears to be the horizontal asymptote? _________________What else is different about this function? ________ ______________________________________________________________________________ 9. Enter the equation  EMBED Equation . Is this the horizontal asymptote? __________ 10. The function in #8 has two transformations. What are they, and which do you think was done first? __________________________________________________________________________ _______________________________________________________________________________ 11. Without using your graphing calculator, write the equation of the horizontal asymptote for each exponential function. Circle the one that has been reflected across the x-axis. a)  EMBED Equation  b)  EMBED Equation  c)  EMBED Equation  d)  EMBED Equation  _______________ _______________ ______________ _________________ 12. Make an accurate sketch of each of these exponential functions. Also sketch the horizontal asymptote with a dashed line. a) EMBED Equation  b)  EMBED Equation    Complete: In the function,  EMBED Equation  the equation of the horizontal asymptote is ________________________________. FTU/Section 5/Exponential Functions Practice 5.1: Transforming Exponential Functions Part 1: Write the equation of the horizontal asymptote for each exponential function. 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3   5.  EMBED Equation.3  6.  EMBED Equation.3  7.  EMBED Equation.3  8.  EMBED Equation.3   Part 2: Make an accurate sketch of each function. 9.  EMBED Equation.3  10.  EMBED Equation.3  11.  EMBED Equation.3     12.  EMBED Equation.3  13.  EMBED Equation.3  14.  EMBED Equation.3     Part 3: Answer each question. All exponential functions are of the form:  EMBED Equation.3  15. Do all exponential functions have a horizontal asymptote, and how do you know what it is when you look at the equation? ____________________________________________________________ _________________________________________________________________________________ 16. What would the equation be to shift an exponential function up 1.71 units? ______________________________ 17. What would the equation be to shift an exponential function down 1.6 units and flip it upside down? ______________________________ FTU/Section 5/5.1Practice A New Look At Linear Functions You remember lines, dont you? Of course you do, and you most likely remember something like EMBED Equation , right? Were not going to look at that right now. Instead, we are going to recall a different linear equation form called point-slope form. This form is derived from the formula for slope:  EMBED Equation  By simply multiplying both sides by the denominator, you get the equation:  EMBED Equation  This is what is traditionally called point-slope form. Well, were going to mess with tradition, just a little. Just follow the logic. In Point-Slope form, the idea is that a linear equation can be written in terms of the slope of the line, m, and the coordinates of any (ANY!) point on the line, represented by  EMBED Equation and  EMBED Equation . What we want to do is recognize that this form is in nearly the same form as all the equations we have been studying this entire unit! Its true. Lets compare the vertex form for a quadratic as an example. Quadratic Vertex Form Point-Slope Form  EMBED Equation   EMBED Equation  a = stretch factor, controls steepness m = slope, controls steepness  EMBED Equation = coordinates of vertex  EMBED Equation = coordinates of a point These are the essential features of these equations. To see even better how closely these two equation forms really are, do this simple bit of algebra: in the point-slope form, just add  EMBED Equation to both sides. You get:  EMBED Equation  Now replace a for m, and replace  EMBED Equation  for  EMBED Equation . The result is:  EMBED Equation , where a now represents the slope, and  EMBED Equation are the coordinates of any (ANY!) point on the line. Voila! To even more clearly put it in context see the box below, which summarizes and compares all the equation forms we have studied this unit.  Time to practice those linear functions in modified point-slope form! FTU/Section 5/Linear Functions Practice 5.2: Transforming Linear Functions Part 1: Identify the slope and the given point on each linear function. 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  Slope:________ Point: _________ Slope:________ Point: _________ Slope:________ Point: _________ 4.  EMBED Equation.3  5.  EMBED Equation.3  6.  EMBED Equation.3  Slope:________ Point: _________ Slope:________ Point: _________ Slope:________ Point: _________ Part 2: Given the information in each problem, Write the equation of the linear function in modified point-slope form, and then in slope-intercept form. Box both of your equations. 7. The line has a slope of -6, and goes through the point (4, -12). 8. The line has a slope of one-third, and goes through the point (36, 104). 9. The line is parallel to the line EMBED Equation.3 , but goes through the point (1, 1). 10. The line goes through the points (16, 4) and (54, 18). Part 3: Answer each question. 11. The line  EMBED Equation.3 is shifted up 10 units and to the right 24 units. Write the equation first in modified point-slope form, then in slope intercept form. 12. The line  EMBED Equation.3 is reflected across the x-axis, shifted left two units and up four units. Write the equation first in modified point-slope form, then in slope intercept form. 13. The line  EMBED Equation.3 is reflected across the x-axis, then shifted down 8 units and left 16 units. Write the equation first in modified point-slope form, then in slope intercept form. Part 4: Use the graph to write the equation of the line in modified point-slope form.  FTU/Section 5/5.2 Practice Function Transformations Team Test  EMBED Equation.3  1. Make an accurate sketch of each function. a)  EMBED Equation.3  b)  EMBED Equation.3    2. Identify the equation of each function. a)___________________________ b) ___________________________   3. True or False? Circle one. a) All quadratics have a range of all real numbers. a) True.False b) All cubic functions have a range of all real numbers. b) True.False c) All exponential functions have an asymptote. d) True.False d) All exponential functions are increasing. d) True.False e) All quadratic functions are symmetrical about the y-axis. e) True.False 4. The graph at the left shows some function called EMBED Equation.3 . Use the grids to make an accurate sketch of each transformation of Q.  EMBED Equation.3  a)  EMBED Equation.3  b)  EMBED Equation.3     5. The graph of  EMBED Equation.3  has been transformed so that its line of symmetry is x = 4, and it has been shifted down 9 units. Name the vertex. 6. The graph of  EMBED Equation.3  has been transformed so that its vertex is still (0, 0), but it now goes through the point (1, -2). What is the new equation? 7. The graph of  EMBED Equation.3  has been transformed so that it is decreasing, its inflection point is on the y-axis and it goes through the points (-1, 5) and (1, 3). What is the new equation? 8. Rewrite the equation  EMBED Equation.3  in the form  EMBED Equation.3  using the function notation statements to determine a, h and k. Each statement is modeled on the form:  EMBED Equation.3  a)  EMBED Equation.3  b)  EMBED Equation.3  9. Rewrite the equation  EMBED Equation.3  in the form  EMBED Equation.3  using the function notation statements to determine a, h and k. Each statement is modeled on the form:  EMBED Equation.3  a)  EMBED Equation.3  b)  EMBED Equation.3  FTU/Section 5/Team Test Graphing Test Function Transformations Unit Part 1: Make an accurate sketch of each function. 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3      5.  EMBED Equation.3  6.  EMBED Equation.3  7.  EMBED Equation.3  8.  EMBED Equation.3      Part 2: Identify the graph of each function. 9. 10. 11. 12.     13. 14. 15. 16.     FTU/Section 5/Graphing Test Teacher Notes, 5.1 Teacher Notes, 5.1 Linear Functions. EMBED Equation  Quadratic Functions . EMBED Equation  Cubic Functions.. EMBED Equation  Absolute Value Functions  EMBED Equation  Square Root Functions. EMBED Equation  Exponential Functions. EMBED Equation  (275, 4740) (80, 1425) Team Member Names (Circle your own, please) Good Luck! k:      ()ֺ֣֩֓֌}sdZ֩֩jahH EHUj8:J hH CJUVaJj hH EHUjL9:J hH CJUVaJ hH 5\jhH CJUmHnHu hH CJ hH 56jhH EHUjiK hH CJUVaJjhH U hH H*hH hH 5CJaJhH 5CJ$aJ$%jhH 5CJUaJ$mHnHu#5Z[jk8 9  ]_(*xy`$a$ ^`NPefx2MOpV&':;ż{tejC7J hLCJUVaJ hL5\ hL\j hLEHUj%7J hLCJUVaJjhLUhL hL5hL5CJaJhLCJ\aJhH CJ\aJ hH 5\jhH EHUj8:J hH CJUVaJjhH UhH 56H* hH 56hH &yz !"#$%&'()*+,-./012Nopp>?""""##$%%&&'') **+u+ & Fdhhdh^hh^h$a$ ^`;<=[\Sb!!""""##&#,#.#0########$%%+%,%-%.%C%&&&'Ļͩ͗ͩ͗}ͩjhL5EHU\jhL5EHU\#j8J hL5CJUV\aJjhL5U\ hL6]hL6CJ]hL5CJ\ hL5\ hL6 hL56hL56CJhLjhLUj@ hLEHU*''' '$'](^(o(p(q(r(H)))))))))**** * *$*%*6*7*8*9*T*+0+1+B+ʳΊ}k^jhL5EHU\#j08J hL5CJUV\aJjhL5EHU\#j 8J hL5CJUV\aJjhL5EHU\jhLEHUj8J hLCJUVaJjhLUhL hL5\jhL5U\jhL5EHU\#j8J hL5CJUV\aJ$B+C+D+E+F+.-/-@-A-B-C-S-T-e-f-g-h-u-v-----------{.|..ʳʚʁwh^jI'hLEHUj8J hLCJUVaJj$hLEHUj 8J hLCJUVaJj"hLEHUj8J hLCJUVaJjk hLEHUj8J hLCJUVaJjhLUhL hL5\jhL5U\jThL5EHU\#j:8J hL5CJUV\aJu+&,v,+---y...F////////700000011161dh^ & Fdh Ldh^`Lhdh^h...............//////////70;0<0O0P0ڹڱڪzqhcTjhLEHUj:1i1l1m111111111111111111~te[jUQhLEHUj/>>>>>>">#>6>Բzoo`Vooj3hLEHUj`>>?x?-@r@s@t@@@@!A"A^A_A`A~A*B+B,BBBBdhddh^6>7>8>9>H>I>\>]>^>_>`>>>>>>>>>>>>>>>>?????x??ĺӫӜӃyj`ӫWhL5CJaJjhLEHUjȿ.h{vhLEHUj~=J hLCJUVaJhLjhLUj+h{vhLEHU 7M8M9M:M?M@MSMTMUMVMWMXM]M^McMdMiMjMpMqMMMMMMMMMMMMMMȻ׳׫ףכ׌pcjQhyhLEHUj=J hLCJUVaJj6OhyhLEHUj=J hLCJUVaJjJhLUjDhLUj?hLUj~:hLUj 8h'BhLEHUjq=J hLCJUVaJhLjhLUj5h'BhLEHUj8=J hLCJUVaJ MMMMMMMMMMMMMMMMNNN N6NjNkNlNqNrNvNwNzNȻ׳׫ףכדn]Njzh_ehLCJUaJ jthj}hL5CJUaJ j%nhj}hL5CJUaJhL5CJaJh@rhLCJaJhLCJaJjhhLUjchLUj^hLUjmYhLUjVhyhLEHUjk=J hLCJUVaJhLjhLUjHThyhLEHUj=J hLCJUVaJNNN N6N7NiNjN|N}N~NNNNNNNNNNNNNN OOAOvOOOzN{N~NNNNNNNNNNNNNO+O,O=O>O?O@OAO`OaOrOsOtOuOvOOOO⺯x♑i_♑jhLEHUjx8:J hLCJUVaJjαhLEHUj8:J hLCJUVaJjhLUhL6CJ]hH hH CJ\aJh)hLCJaJhLCJaJjhLUj=hLUjƙhLUj hLUhLhL5CJaJ jjhI>hL5CJUaJ OOOOOOOOOOOOOPPPPPPP8P9PJPKPLPMPNPOP[P\PgPhPPPP¸کژډwwwodh.bhLCJaJhLCJaJhLCJaJjhLEHUj8:J hLCJUVaJ hL6]jQhLEHUj<8:J hLCJUVaJjhLEHUje8:J hLCJUVaJhL6CJ]hLjhLUjhLEHUjp8:J hLCJUVaJ"OPNPOP[P\PgPhPPPPPPPPPPPPPPPPPhH CJ\aJhH hLh.bhLCJaJ(/ =!"8#8$%  Dd x?J  C A? "2mf4HCDaIDv`!Af4HCDa`( +?xڥMhAWlRۢKD zE-V`i:Cm,< "x%`KłK/JAѸ3Ԋ o}"2=@~I#$m:ʠ\"KJ+JYZ @?_ i)?Y"IL/cUZNK$)(nWFqo\̕ѽS;owķׇ5Sg$|8bp6CO>q`ċq鐛ڤkj=BvS\\w2ϖso)~K&g|2_ г8c||P`_Co5uyo~_៣!5yDEN<7Y^Gz7ũrfG525fJi9q?Ĭ\ZUoj>xbv떂"ڷ-ߢeY5]|ކ E^&Anb/zE'y{"ӕ6VDd @jOJ  C A? "2I/eWwnOv`!I/eWwn   Zxcdd``.fd``baV d,F1J@Yp1&Q|@?6  : aM,,He`@2L avLbr<K>bi,@e@@1q%0F0tVVt2Dr+Ea"@"Hj9a". ܤ:+?3aw#t+/E8X@"H"aj +Gp53*N`O]QY1hE V VA``#RpeqIj.C4.E. H9 ݯ`EQDd @J  C A? "2UqQKope4bv`!UqQKope4b  Uxcdd```d``baV d,F1J@Yp1&Q<|@?6  > aM,,He`@2L avLbr<K>bi ,@e@@1q%00tUfE>ͪ\I<aCWc@R $ TV? B:*&&H+05XܤR.p=AFV^DtDNpD"\И:$0 .``cI)$5!d;P"CXXt!z1dx QDd @J  C A? "2UqQKope4bv`!UqQKope4b  Uxcdd```d``baV d,F1J@Yp1&Q<|@?6  > aM,,He`@2L avLbr<K>bi ,@e@@1q%00tUfE>ͪ\I<aCWc@R $ TV? B:*&&H+05XܤR.p=AFV^DtDNpD"\И:$0 .``cI)$5!d;P"CXXt!z1dx =Dd h93\  c $A? ?#" `2нmNOiG v`!aнmNOr@@8 |/xcdd``dd``baV d,FYzP1n:&&6! KA?H110| UXRY7&meabM-VK-WMcPX\ 򦹱si#/ 3YA:+*!5# f\ ;и``㜑I)$5 d.P"CDHg!t?2eCTvSDd h\  c $A? ?#" `2׹nAY8y v`!׹nAY8yr@ @p|vxcdd`` @c112BYL%bpu?@ABCDEFGHIJKLMNOPRSTUVWX[^_a`cbdefhgikjlmnpoqsrtvuwxy{z|~}Root Entry FpL]Data QdWordDocument*ObjectPool HpL_1265235624F H HOle CompObjfObjInfo "%(+058;>AFILORUX[^adgjmpsvy| FMicrosoft Equation 3.0 DS Equation Equation.39q!Ի Letf(x)=2 x ." Thereforef(x+3)=2 (x+3) isaEquation Native =_1245329740Y F H HOle CompObj ehorizontalshiftleft3units." But2 (x+3) =2 x "2 3 =8"2 x ." Thereforef(x+3)=8"2 x ,whichisaneightfoldverticalstretch. FWorksheet Builder Equation Equation Equation9q| y-y 1 =m(x-x 1 )EMDObjInfo Ole10Native_1245329538 F -K -KOle CompObjeObjInfoOle10Native`_1245155365F H H FWorksheet Builder Equation Equation Equation9q\ f(x)=a(x-h)+k FMicrosoft Equation 3.0 DS Equation Equation.39qOle CompObjfObjInfo Equation Native !J.  f(x)=2 x FMicrosoft Equation 3.0 DS Equation Equation.39qKD f(x)=a2_1245155139F H HOle #CompObj$fObjInfo&Equation Native 'g_1245240540 F H HOle )CompObj *e (x"h) +k FWorksheet Builder Equation Equation Equation9q< y=2 x FWorksheet Builder Equation EObjInfo!,Ole10Native-@_1245241017D6$ F H HOle .CompObj#%/eObjInfo&1Ole10Native2@_1245243168) F H Hquation Equation9q< y=3C  FWorksheet Builder Equation Equation Equation9q\ f(x)=2 x +3D BLOle 3CompObj(*4eObjInfo+6Ole10Native7`  FWorksheet Builder Equation Equation Equation9q\ f(x)=-2 x -1 BL _1245244208"O. F H HOle 9CompObj-/:eObjInfo0<Ole10Native=`_12452442183 F H HOle ?CompObj24@e FWorksheet Builder Equation Equation Equation9q< y=-1C  FWorksheet Builder Equation Equation Equation9qObjInfo5BOle10NativeC@_1245243673';8 F H HOle DCompObj79EeObjInfo:GOle10NativeH`_1245243775E= F H H\ f(x)=2 x -1D BL  FWorksheet Builder Equation Equation Equation9q\ f(x)=2 x +12.7L Ole JCompObj<>KeObjInfo?MOle10NativeN`_12452444291JB F H HOle PCompObjACQeObjInfoDS FWorksheet Builder Equation Equation Equation9q\ f(x)=-2 x -3pBL  FWorksheet Builder Equation EOle10NativeT`_1245243837G F H HOle VCompObjFHWequation Equation9q\ f(x)=-1.032+2 x  FWorksheet Builder Equation Equation Equation9qObjInfoIYOle10NativeZ`_1245244661L F H HOle \CompObjKM]eObjInfoN_Ole10Native``_1245244716@Q F H H\ f(x)=2 x -5D BL  FWorksheet Builder Equation Equation Equation9q\ f(x)=4-2 xD BL Ole bCompObjPRceObjInfoSeOle10Nativef`_1245325853V F H HOle hCompObjUWieObjInfoXk FWorksheet Builder Equation Equation Equation9q\ f(x)=2 x +kD BL  FMicrosoft Equation 3.0 DS EqOle10Nativel`_1245491449[F H HOle nCompObjZ\of Xuation Equation.39q7 lq f(x)=2 x "5 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo]qEquation Native rS_1245491489r`F H HOle tCompObj_aufObjInfobwEquation Native xW_1245491514eF H H;h f(x)=2 x +11 FMicrosoft Equation 3.0 DS Equation Equation.39q:H f(x)="7"2 xOle zCompObjdf{fObjInfog}Equation Native ~V_1245491543cmjF H HOle CompObjikfObjInfol FMicrosoft Equation 3.0 DS Equation Equation.39q6t f(x)+3=2 x FMicrosoft Equation 3.0 DS EqEquation Native R_1245491585oF H HOle CompObjnpfuation Equation.39q?8 f(x)"5=2 x "8 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoqEquation Native [_1245491670h|tF H HOle CompObjsufObjInfovEquation Native b_1245491708yF H HFx f(x)=24.25+2 x FMicrosoft Equation 3.0 DS Equation Equation.39q7 ܬ f(x)=2 x +xOle CompObjxzfObjInfo{Equation Native S_1245491727w~F H HOle CompObj}fObjInfo FMicrosoft Equation 3.0 DS Equation Equation.39q?lq f(x)=2 x ".5x FMicrosoft Equation 3.0 DS EqEquation Native [_1245491965F H HOle CompObjfuation Equation.39q7)  f(x)=2 x "2 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native S_1245491990^F H HOle CompObjfObjInfoEquation Native R_1245492015F H H68 f(x)=3+2 x FMicrosoft Equation 3.0 DS Equation Equation.39q2(= f(x)="2 xOle CompObjfObjInfoEquation Native N_1245492158F H HOle CompObjfObjInfo FMicrosoft Equation 3.0 DS Equation Equation.39q;`  f(x)="2 x +5 FMicrosoft Equation 3.0 DS EqEquation Native W_1245492251F H HOle CompObjfuation Equation.39q;ȵ\ f(x)="2 x "1 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native W_1245492194F H HOle CompObjfObjInfoEquation Native V_1245492470F H H:x5 f(x)="1"2 x FMicrosoft Equation 3.0 DS Equation Equation.39q;d f(x)=2 z +kOle CompObjfObjInfoEquation Native W_1245326947T F H HOle CompObjeObjInfo FWorksheet Builder Equation Equation Equation9q< y=mx+b  FWorksheet Builder Equation Equation Equation9qOle10Native@_1245327103 F H HOle CompObjeObjInfoOle10Native_1245327739, F H HOle | m=y-y 1 x-x 1[!"> FWorksheet Builder Equation Equation Equation9q< x 1C 6  3 A?2H|e-f2o_v`!WH|e-f2oV @d|%xcdd``fd``baV d,F1J@Yp1&&> KA?H0rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%r4 2]b0F0tVV<@_JA&TT&al.ܤK.)pb2#`V^f2n^8 dQ.hsb06v0o8+KRs4@&3u(2tA4 /q Dd h6  3 A?2H|e-f2o_v`!WH|e-f2oV @d|%xcdd``fd``baV d,F1J@Yp1&&> KA?H0rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%r4 2]b0F0tVV<@_JA&TT&al.ܤK.)pb2#`V^f2n^8 dQ.hsb06v0o8+KRs4@&3u(2tA4 /q Dd 0,6   3 A?2q 'u3Zf b{M"v`!E 'u3Zf b{kxcdd`` @c112BYLGcbbib,@e@@1q90F0tVV0lܤ0.󙰛? vmel&VɌp10< %.pB &#RpeqIj.dE./t0f\Dd 0,6   3 A? 2q 'u3Zf b{Mv`!E 'u3Zf b{kxcdd`` @c112BYLGcbbib,@e@@1q90F0tVV0lܤ0.󙰛? vmel&VɌp10< %.pB &#RpeqIj.dE./t0f\Dd 0,eq6   3 A? 2q 'u3Zf b{Mv`!E 'u3Zf b{kxcdd`` @c112BYLGcbbib,@e@@1q90F0tVV0lܤ0.󙰛? vmel&VɌp10< %.pB &#RpeqIj.dE./t0f\6Dd <h>A6   3 A? 2g8 z߿G0Ouv`!g8 z߿G0Ou`@ |Nxcdd``ad``baV d,F1J@Yp1&> KA?H _r< %! H&9 .:O $37X/\!(?71aǒXk?k7 P.P1G F\ k@:*"fUTڡ<;@]_BLNp=wmupUL M@vW&00l`JS08_,`ba[y.P_;X@FUD"\N= 0y{)I)$5dP"CXX;_BODd hJ   C A ? " 2.2'. Iv`!.2'.  @%|Sxcdd``ned``baV d,F1J@Yp1&&N> KA?H80rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%le,@e@@1q-`aL̆|UQj`dv}a(bz]1f?4*"@"@,v1 Ma`XUa>qX 2¶2\ HDIă&BmNfaTy.1pA 8=A/F&&\e :@`h0Dd ,J  C A ? " 2yeY>FUUƚUv`!MeY>FUUƚ`Pxcdd``fgd``baV d,F1J@Yp1 ,|@?6 X0rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%iYt>b0r``鬬\a" KA?H _r< %! H&9 .:O $37X/\!(?71aǒXk9+kj2]b00tUfE>ͪ\C?yv02p0Lgz]1f?4*"@"@,v1 Mk‡Lbc3p\6.P2¨\$$bႦ.pX_N)LLJ% Av1u(2t55@fKDd hh6  3 A ?2NZ|(Sg͜"v`!NZ|(Sg͜@ @|cxcdd``gd``baV d,F1J@Yp1&&.> KA?H \_r< %! H&9 .:O $37X/\!(?71aǒXk kZ P.P1G F\ k@:*"fUTڡ<;@]_BLNp=wmupUL M$g l3lMY|&dmeHHD(Bm`aTy *JFUpTAT8AINOLLJ%  :@`x"]Dd ThJ  C A ? "2<?h TQ0%v`!<?h TQd @|axcdd`` @c112BYLGcbbXt>b0ZXҙV 6r?P19 $b2#~`iTEV1D4"Xb\pk‡Lbc3p, ]$v}:dQH,H(BOSN R!&JF&&\3 @ ] @h;Ϙ2mVDd Dh6  3 A?2v%7*&` w'v`!v%7*&` w4 @|nxcdd`` @c112BYLGcbbYi,@e@@1q-`aL̆|UQj`dv}a19 $b2#~`iTEV1D4D4@"z lg\ƥa>qZ 2¶2\ HDIHD(BmOfaXyV "l@P%4uqS w 0y{I)$5!E.J ;6Dd <h6  3 A?2F/pY9 n )v`!F/pY9 n `@ |Nxcdd``ad``baV d,F1J@Yp1&> KA?H _r< %! H&9 .:O $37X/\!(?71aǒXky G. P.P1G F\ k@:*"fUTڡ<;@]_BLNp=wmupUL M@vW&00rY+|D/0v1 eE, #*EA"@.h U=Ĥ\Y\ˠ C Dݯ`9B7Dd <h6  3 A?2p^ٍZY,,v`!p^ٍZY,`@ |Oxcdd``ad``baV d,F1J@Yp1&> KA?H _r< %! H&9 .:O $37X/\!(?71aǒXkִE,@e@@1q-`aL̆|UQj`dv}a19 $b2#~`iTEV1D4"Xb\ uS|&|dmeV.P2¤\"H(M!\ b;R+KRsbPdkk~G+3X? :Dd b70  # AbcBnWMXIBF?P.vn7BnWMXIBFPNG  IHDR~YygAMA|QIDATx1O@1x,k%DBVH:a6bڭ V2T*pRRc ׻ F43Hw:EｗgG1?r@cxm2|z ; 7. Zm 3{NQ9{TF#@.i ⒞'{(qMt;5@٪S7k8bI *:CK)*L&:ȭFpEOKO# ԥet  7 K6K*̥>XfMe;*Es#d\piy\B]h R%%BEW\ZJ.NN*_BRB%l pKpv/3rh,. ?0 .-Υ } uI}2.E7}|0DCN|AG *ԥʼnj@z(Fչ]0¹]VDCbXvuLhD*'5!KIA""qL4ZǩQ4Eh6oHc 1~W᝚\%]]$X@U9Zߵ0j}15=64pj<@DEQڢSH2k`dwsĄ=y6*74dV mT@fa 3@V t9k جZbCL-]!W*hnKɝ}YY4gIB'\Bx"Υ>R#vl]h]|{K!KG_K~ /ĥ.e 7P2o' .-Kh]Rh$~#)кѺ?Uu_, .y ?sa_@sp{$ L揥q%W7.3bɝ͖,3_cD~2.%Y8zPP iؚg 4$Kch,|4X/;IENDB`Dd b70  # AbcBnWMXIBF?73vn7BnWMXIBFPNG  IHDR~YygAMA|QIDATx1O@1x,k%DBVH:a6bڭ V2T*pRRc ׻ F43Hw:EｗgG1?r@cxm2|z ; 7. Zm 3{NQ9{TF#@.i ⒞'{(qMt;5@٪S7k8bI *:CK)*L&:ȭFpEOKO# ԥet  7 K6K*̥>XfMe;*Es#d\piy\B]h R%%BEW\ZJ.NN*_BRB%l pKpv/3rh,. ?0 .-Υ } uI}2.E7}|0DCN|AG *ԥʼnj@z(Fչ]0¹]VDCbXvuLhD*'5!KIA""qL4ZǩQ4Eh6oHc 1~W᝚\%]]$X@U9Zߵ0j}15=64pj<@DEQڢSH2k`dwsĄ=y6*74dV mT@fa 3@V t9k جZbCL-]!W*hnKɝ}YY4gIB'\Bx"Υ>R#vl]h]|{K!KG_K~ /ĥ.e 7P2o' .-Kh]Rh$~#)кѺ?Uu_, .y ?sa_@sp{$ L揥q%W7.3bɝ͖,3_cD~2.%Y8zPP iؚg 4$Kch,|4X/;IENDB`8Dd dh6  3 A?2id{8v`!id{@^ |Pxcdd``ad``baV d,F1J@Yp1&|@?6 -80rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%kiYt>b0ZXҙV 6r\d;H$(U?y22pۿ0Lgؕ1f?4*"@"@,v1 Ma`P Q08_,`ba[y.P_;X@FU`.p MN)LLJ% A&3u(2t55@٠lSDd Oh\  c $A? ?#" `2p'|ZaV:v`!wp'|Za@0, |Excdd``dd``baV d,FYzP1n:&! KA?H1 ߁qC0&dT20 KXB2sSRsV~.b~U g0Z8մ3@|M8?J,3@penR~ ?B8gd2BnO 3o G?F j *0O1ob*ap4ANNLLJ% A0u(2tA4Ag!t?1eSDd h\  c $A? ?#" `2x)]v`!sˀZ^vVQ@ @PV|Axcdd``dd``baV d,FYzP1n:&&N! KA?H1-47$# !lo&`'0L ZZǠs&+|-ʟfT T0鬨<@ 0B̅@4 {Ht7F=[AFicL &v6w0@penR~^~e > )l #tlaA0\8и``#RpeqIj. ^E.B a F'~NMDd <h\  c $A? ?#" `2Z[wkPo/\9yKAv`!qZ[wkPo/\9`@ |?xcdd``dd``baV d,FYzP1n:&! KA?H1  ߁qC0&dT20ͤ `[YB2sSRsV~.bG~ g0°b^?cd.`|1ob0a {ba7g0p]I9 sV-(D'ۓ kWrAc `BNNLLJ% A0u(2tA4T}b@f v_Dd h\  c $A? ?#" `2Q12Q'&}㐉Cv`!Q12Q'&}㐉 @w|Qxcdd``dd``baV d,FYzP1n:&\B@?b  ㆪaM,,He` @201d++&1(\ _˹Yt9ƥ 0)6ί`ML &F%0@penR~Q>.pD@rtp{&p~ 3Db$^F_ֳLib #\O.8 `padbR ,.IePԡRYO`}+]Dd h\  c $A? ?#" `2|r쯯uEv`!|r쯯u @ |Oxcdd``dd``baV d,FYzP1n:&&n! KA?H1 ㆪaM,,He`I? 01d++&1(\ _7Mf*F\_@:+*!5#Fn{ B Ma`XeN@e d65 -6{(p-, #`5|piTrAc `kq' F&&\ @ ] U v~YDd h\  c $A? ?#" `23)<)[Jv`!}3)<)[ @`|Kxcdd``dd``baV d,FYzP1n:&B@?b } UXRY7S?&meabM-VK-WMcPX\ 7isi#9@:+*a'&?bcd~a  $b.#?/AF [X@|#8 {}]L@(\pk݂BDwc#]=5 m%4v)}h 0y{iI)$5AdP"CDHg!0a|QDd dh\   c $A? ?#" `22 Gg[ 7}Lv`!u2 Gg[ 7@^ |Cxcdd``dd``baV d,FYzP1n:&B@?b 8 ㆪaM,,He` @201d++&1(\ _ְU g0Zը‚ʟk`iTb +ssfs[Q ;@Fam(H?!0B0dBI3O!M ~Z%41 &h 0y{iI)$5a E.B ~b/}MDd <h\ ! c $A? ?#" ` 2pBjJ'<^oyLOv`!qpBjJ'<^o`@ |?xcdd``dd``baV d,FYzP1n:&! KA?H1  ߁qC0&dT20ͤ `[YB2sSRsV~.b g0°b^?cd.`|1ob0a {bag o `5|4 +ss|"ڿKXAFham+awq' F&&\ {: @> 13X0}nEDd th\ " c $A? ?#" `!2UU D}U܉qQv`!iUU D}U܉ @ |7xcdd``vdd``baV d,FYzP1n:&&v! KA?H1 ㆪaM,,He`I? 01d++&1(\ _si#/ l g#7wF0~adܞL &v6{P 27)?悏BDo ]=5 m%41 4=4Ĥ\Y\C 2RN{|QDd P#0 # # A"b%YUA8Svn%YUA8PNG  IHDR_}gAMA|QGIDATx휿jPK}Cք,Bd1Cׂ_PP؏;?Qj(r#V:MnU4ER>+] 7.b%)% ^uԕ@7[mR wZ06[g#D0+bR%0"&)9IiՋaٚ;Ť%[-q!% 0!$2 %f׆L6Ѕ}Hٚ>Q?>ik \LJbRLC&2d[cUX<`\Z0̻kl-{a)f2+sGFTrbRLC5dJ8(L3.ېI.X= \b}rֹZLFwEX%6)}RLI1y&܋$'#LIǟ5l=L<[b{c\6Ke>ư Wf~a=֨oǸl`ntxKKa)䘶]mtÖGlB;UfVH/)q³a{p<[RĥlC9m{%loṈhv4vLMjv krl.e`Cjh|0 G#z ([zt ,eDk{顉"aJ$v:^gk:~;!%_B]L1R;kb&+#%.vn2Y31},?9S,&3Li,A_ؙ*IFi=b/mu}2&:w+ִL1쓱Ord'\_1?rma_IK?+Qɪ)A zϊq٠oU4 bHP;VM~oa}o]+1_f&A`܃+bRL¤2d㰸RFpϯ "J@Yl.[b& dmH 4 x'd6̫2Y3&&ŤR/¤I1)&-ټ,Z%IENDB`QDd P#0 $ # A#b%YUA8/Yvn%YUA8PNG  IHDR_}gAMA|QGIDATx휿jPK}Cք,Bd1Cׂ_PP؏;?Qj(r#V:MnU4ER>+] 7.b%)% ^uԕ@7[mR wZ06[g#D0+bR%0"&)9IiՋaٚ;Ť%[-q!% 0!$2 %f׆L6Ѕ}Hٚ>Q?>ik \LJbRLC&2d[cUX<`\Z0̻kl-{a)f2+sGFTrbRLC5dJ8(L3.ېI.X= \b}rֹZLFwEX%6)}RLI1y&܋$'#LIǟ5l=L<[b{c\6Ke>ư Wf~a=֨oǸl`ntxKKa)䘶]mtÖGlB;UfVH/)q³a{p<[RĥlC9m{%loṈhv4vLMjv krl.e`Cjh|0 G#z ([zt ,eDk{顉"aJ$v:^gk:~;!%_B]L1R;kb&+#%.vn2Y31},?9S,&3Li,A_ؙ*IFi=b/mu}2&:w+ִL1쓱Ord'\_1?rma_IK?+Qɪ)A zϊq٠oU4 bHP;VM~oa}o]+1_f&A`܃+bRL¤2d㰸RFpϯ "J@Yl.[b& dmH 4 x'd6̫2Y3&&ŤR/¤I1)&-ټ,Z%IENDB`QDd P#0 % # A$b%YUA8^vn%YUA8PNG  IHDR_}gAMA|QGIDATx휿jPK}Cք,Bd1Cׂ_PP؏;?Qj(r#V:MnU4ER>+] 7.b%)% ^uԕ@7[mR wZ06[g#D0+bR%0"&)9IiՋaٚ;Ť%[-q!% 0!$2 %f׆L6Ѕ}Hٚ>Q?>ik \LJbRLC&2d[cUX<`\Z0̻kl-{a)f2+sGFTrbRLC5dJ8(L3.ېI.X= \b}rֹZLFwEX%6)}RLI1y&܋$'#LIǟ5l=L<[b{c\6Ke>ư Wf~a=֨oǸl`ntxKKa)䘶]mtÖGlB;UfVH/)q³a{p<[RĥlC9m{%loṈhv4vLMjv krl.e`Cjh|0 G#z ([zt ,eDk{顉"aJ$v:^gk:~;!%_B]L1R;kb&+#%.vn2Y31},?9S,&3Li,A_ؙ*IFi=b/mu}2&:w+ִL1쓱Ord'\_1?rma_IK?+Qɪ)A zϊq٠oU4 bHP;VM~oa}o]+1_f&A`܃+bRL¤2d㰸RFpϯ "J@Yl.[b& dmH 4 x'd6̫2Y3&&ŤR/¤I1)&-ټ,Z%IENDB`XDd h\ & c $A? ?#" `%2\+sL"cv`!|\+sL"` @|Jxcdd``dd``baV d,FYzP1n:&N! KA?H1 @ ㆪaM,,He` @201d++&1(\ _˓Usi# 0~++o`5|4*I9 -(~F #lfufj$b/#/ l *0Cy1ob*qpARN#LLJ% @0u(2tA4T}b@3XLqWDd h\ ' c $A ? ?#" `&2WFe m&fbϏ)fv`!{WFe m&fbϏ @%|Ixcdd``dd``baV d,FYzP1n:&&N! KA?H18 ㆪaM,,He` @201d++&1(\ _%U g0ZjX 㷲Fp &_OL@(\upG!32Hd g3 *ķګf/# C&Ȅ f.0B̅@J.hlrcmи``#RpeqIj.CE.B ~bcPDd h\ ( c $A!? ?#" `'2| sb>pi)|hv`!t| sb>pi) @%|Bxcdd``dd``baV d,FYzP1n:&&N! KA?H18 ㆪaM,,He`I? 01d++&1(\ _˳dYt3q}a(鬨<@ 0B̅@4 {Ht7F=} #p &_K;P 27)?$?WԂBD7 d.ܞ,f߶ \{ `padbR ,.IeԡRY=L2i|RQDd P#0 ) # A(b%YUA8jvn%YUA8PNG  IHDR_}gAMA|QGIDATx휿jPK}Cք,Bd1Cׂ_PP؏;?Qj(r#V:MnU4ER>+] 7.b%)% ^uԕ@7[mR wZ06[g#D0+bR%0"&)9IiՋaٚ;Ť%[-q!% 0!$2 %f׆L6Ѕ}Hٚ>Q?>ik \LJbRLC&2d[cUX<`\Z0̻kl-{a)f2+sGFTrbRLC5dJ8(L3.ېI.X= \b}rֹZLFwEX%6)}RLI1y&܋$'#LIǟ5l=L<[b{c\6Ke>ư Wf~a=֨oǸl`ntxKKa)䘶]mtÖGlB;UfVH/)q³a{p<[RĥlC9m{%loṈhv4vLMjv krl.e`Cjh|0 G#z ([zt ,eDk{顉"aJ$v:^gk:~;!%_B]L1R;kb&+#%.vn2Y31},?9S,&3Li,A_ؙ*IFi=b/mu}2&:w+ִL1쓱Ord'\_1?rma_IK?+Qɪ)A zϊq٠oU4 bHP;VM~oa}o]+1_f&A`܃+bRL¤2d㰸RFpϯ "J@Yl.[b& dmH 4 x'd6̫2Y3&&ŤR/¤I1)&-ټ,Z%IENDB`QDd P#0 * # A)b%YUA8!pvn%YUA8PNG  IHDR_}gAMA|QGIDATx휿jPK}Cք,Bd1Cׂ_PP؏;?Qj(r#V:MnU4ER>+] 7.b%)% ^uԕ@7[mR wZ06[g#D0+bR%0"&)9IiՋaٚ;Ť%[-q!% 0!$2 %f׆L6Ѕ}Hٚ>Q?>ik \LJbRLC&2d[cUX<`\Z0̻kl-{a)f2+sGFTrbRLC5dJ8(L3.ېI.X= \b}rֹZLFwEX%6)}RLI1y&܋$'#LIǟ5l=L<[b{c\6Ke>ư Wf~a=֨oǸl`ntxKKa)䘶]mtÖGlB;UfVH/)q³a{p<[RĥlC9m{%loṈhv4vLMjv krl.e`Cjh|0 G#z ([zt ,eDk{顉"aJ$v:^gk:~;!%_B]L1R;kb&+#%.vn2Y31},?9S,&3Li,A_ؙ*IFi=b/mu}2&:w+ִL1쓱Ord'\_1?rma_IK?+Qɪ)A zϊq٠oU4 bHP;VM~oa}o]+1_f&A`܃+bRL¤2d㰸RFpϯ "J@Yl.[b& dmH 4 x'd6̫2Y3&&ŤR/¤I1)&-ټ,Z%IENDB`QDd P#0 + # A*b%YUA8ruvn%YUA8PNG  IHDR_}gAMA|QGIDATx휿jPK}Cք,Bd1Cׂ_PP؏;?Qj(r#V:MnU4ER>+] 7.b%)% ^uԕ@7[mR wZ06[g#D0+bR%0"&)9IiՋaٚ;Ť%[-q!% 0!$2 %f׆L6Ѕ}Hٚ>Q?>ik \LJbRLC&2d[cUX<`\Z0̻kl-{a)f2+sGFTrbRLC5dJ8(L3.ېI.X= \b}rֹZLFwEX%6)}RLI1y&܋$'#LIǟ5l=L<[b{c\6Ke>ư Wf~a=֨oǸl`ntxKKa)䘶]mtÖGlB;UfVH/)q³a{p<[RĥlC9m{%loṈhv4vLMjv krl.e`Cjh|0 G#z ([zt ,eDk{顉"aJ$v:^gk:~;!%_B]L1R;kb&+#%.vn2Y31},?9S,&3Li,A_ؙ*IFi=b/mu}2&:w+ִL1쓱Ord'\_1?rma_IK?+Qɪ)A zϊq٠oU4 bHP;VM~oa}o]+1_f&A`܃+bRL¤2d㰸RFpϯ "J@Yl.[b& dmH 4 x'd6̫2Y3&&ŤR/¤I1)&-ټ,Z%IENDB`WDd h\ , c $A"? ?#" `+2i\&l&b٣zv`!{i\&l&b٣ @(|Ixcdd``dd``baV d,FYzP1n:&N! KA?H1@ ㆪaM,,He` 01d++&1(\ _7si#E ٕ0Ip~V O?y12p{0dLD(P 27)?a?G!;mfgc+#=3@|M8b\8Zh\ 0y{iI)$5d/P"CD|b@f XC~ Dd 8@6  3 A?2} b7Yt>b0J``鬬\ Bq\ZVm\t3>? ٟvmeb6P \j;LLJ% : ` =0Cgd`RuIDd 8{6 - 3 A#?,2;Д۷:tExZ%v`!;Д۷:tExZæ@v axcdd``f 2 ĜL0##4Y=F (.rRcgCompObjeObjInfoOle10Native@_1245327768 F H HOle CompObjeObjInfoOle10Native@ FWorksheet Builder Equation Equation Equation9q< y 1C  FWorksheet Builder Equation Equation Equation9q_1245328427 F H HOle CompObjeObjInfo\ y=a(x-h) 2 +kBL  FWorksheet Builder Equation Equation Equation9q| y-y 1 =m(x-x 1 Ole10Native`_1245327320 F H HOle CompObjeObjInfoOle10Native_1245328613 F H HOle )[!"> FWorksheet Builder Equation Equation Equation9q< (h,k)C  FWorksheet Builder Equation ECompObjeObjInfoOle10Native@_1245328641 F H HOle CompObjeObjInfoOle10Native`quation Equation9q\ (x 1 ,y 1 ) FWorksheet Builder Equation Equation Equation9q_1245328850 F H HOle CompObjeObjInfoOle10Native`_1245328985 F H HOle CompObje\ y=m(x-x 1 )+y 1 FWorksheet Builder Equation Equation Equation9q\ y=a(x-h)+kObjInfoOle10Native`_1245495021F H HOle   #&),/27:=@CFILOTY\_behknqtwz} FMicrosoft Equation 3.0 DS Equation Equation.39q=d f(x)=5(x"2)"2 FMicrosoft Equation 3.0 DS EqCompObjfObjInfoEquation Native Y_1245495063F H HOle CompObjfObjInfo Equation Native  ]uation Equation.39qA (|b f(x)="3(x"2)+9 FMicrosoft Equation 3.0 DS Equation Equation.39q_1245495092F H HOle  CompObj fObjInfoEquation Native ]_1245495138F H HOle CompObjfAL( f(x)="8+5(x+7) FMicrosoft Equation 3.0 DS Equation Equation.39qI4 3f(x)="2(x"18)"6ObjInfoEquation Native e_1245495201F H -KOle  FMicrosoft Equation 3.0 DS Equation Equation.39qEml+ "4f(x)=28"(x"2) FMicrosoft Equation 3.0 DS EqCompObjfObjInfoEquation Native a_1245495240F -K -KOle CompObjfObjInfo!Equation Native "^uation Equation.39qB f(x)=58(x+1) FMicrosoft Equation 3.0 DS Equation Equation.39q_1245495700F -K -KOle $CompObj%fObjInfo'Equation Native (N_1245496024F -K -KOle *CompObj+f2"  y=78x+45 FMicrosoft Equation 3.0 DS Equation Equation.39q%qd y="6x+4ObjInfo-Equation Native .A_1245496136F -K -KOle 0 FMicrosoft Equation 3.0 DS Equation Equation.39q!нd y=2x+5 FMicrosoft Equation 3.0 DS Equation Equation.39qCompObj1fObjInfo3Equation Native 4=_1245496504F -K -KOle 5CompObj6fObjInfo8Equation Native 9M1!  f(x)="3x"1 FMicrosoft Equation 3.0 DS Equation Equation.39q'  (FT 3 )    NM !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLuOPQSRTVUWYZ\[]_^`abdcegfhijlkmonpqrsvwxyz{|}~_12455619925 F -K -KOle ;CompObj  <fObjInfo >Equation Native ?C_1245562282F -K -KOle ACompObjBf FMicrosoft Equation 3.0 DS Equation Equation.39qO#d f(x)="2(x+3) 3 "1ObjInfoDEquation Native Ek_1245562326 F -K -KOle GCompObjHfObjInfoJEquation Native Km_1245563413F -K -K FMicrosoft Equation 3.0 DS Equation Equation.39qQr f(x)=34x"4+2 FMicrosoft Equation 3.0 DS Equation Equation.39qOle MCompObjNfObjInfoPEquation Native Q5d Q(x) FMicrosoft Equation 3.0 DS Equation Equation.39q!  Q(x)"3_1245563913?F -K -KOle RCompObjSfObjInfo UEquation Native V=_1245563937#F -K -KOle WCompObj"$Xf FMicrosoft Equation 3.0 DS Equation Equation.39q%L& "Q(x"3) FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo%ZEquation Native [A_1243926198(F -K -KOle ]bWfnobIFHeA*_@S u!f0eb YElWDkB2sSRsv,\~ ksYBLg+Ʉ3R" \fEd@g .˂+ss 9$>g2&? poabE:"#NR@lg|_P"\5* `p\121)W2XbPdF`hrVDd @aOJ . C A? "-2I/eWwnnv`!I/eWwn   Zxcdd``.fd``baV d,F1J@Yp1&Q|@?6  : aM,,He`@2L avLbr<K>bi,@e@@1q%0F0tVVt2Dr+Ea"@"Hj9a". ܤ:+?3aw#t+/E8X@"H"aj +Gp53*N`O]QY1hE V VA``#RpeqIj.C4.E. H9 ݯ`EDd @6 / 3 A$?.2V\fLmNRF2ăv`!*\fLmNRFR xcdd`` @c112BYLGcbbjiXt>b0J``鬬\5Q?DLdd&`6ٰ .?!Cl``Ĥ\Y\pd2P"CD0 ~m `aJDDd h;;6 1 3 A&?02tӰ: N d:9v`!tӰ: N d:9 @F|\xcdd``bd``baV d,F1J@Yp1&.> KA?H\_r< %! H&9 .:O $37X/\!(?71aǒXky"GZ P.P1G F\ #@:++WE1D+EX@"Hj@"Hj8A"@5. ܤ` 3aw# l+/EXA"H" mI ۙAFhTE إ<}dQe4)b06v0o8021)W2LfPdh5pF3XdžADd @6 2 3 A'?12kd | Wbȉv`!kd | Wb   Yxcdd``.fd``baV d,F1J@Yp1&Q|@?6  : aM,,He`@2L avLbr<K>bIi,@e@@1q%0F0tVVt2Dr+Ea"@"Hj9a". ܤ9 >g2FɅ`V^pDlD@lWd;IjF fpU0,>%.LCU.bpA8@/ F&&\i] @ ] @~ed)Dd D@6 3 3 A(?22jY@| ӱF v`!>Y@| ӱ  xcdd``~ @c112BYLGcbbjiXt>b0J``鬬\5Q?DLdd&`6ٰ .?!Cl``Ĥ\Y\pd2P"CD0 ~m `aJYDd @aOJ 6 C A*? "52\eDAŇ%^*v`!\eDAŇ%^*  ]xcdd``.fd``baV d,F1J@Yp1&\|@?6 p`0&dT20 ro`0LbiwXt>b0J``鬬\ɭaD*dL焙2. Ma`pڢa>v12H.Ͷ2\Ď$$`p7y 3:v&PbBF.Ɇp3.4=p * `p`dbR ,.IeC Cݯ`&Dd D@6 7 3 A(?62jY@| ӱF@v`!>Y@| ӱ  xcdd``~ @c112BYLGcbv`!{!,a N4_Cnz M Ixcdd``ed``baV d,F1J@Yp1&|@?6 p`0&dT20 ro`0LbN}`ĕYY.2 $Xy.@R#@Rs$ T2. Ma`a>v12H.Ͷ2\$$$ b;Ia;3:]5"\8* `p\121)W2ԡ"C`zt1Dd D@6 : 3 A(?92jY@| ӱFv`!>Y@| ӱ  xcdd``~ @c112BYLGcb5tXfDd @\ > c $A/? ?#" `=2S[p٫v`!S[p٫ x Xxcdd``ed``baV d,FYzP1n:&B@?b u 20 UXRY7S?&,e`abM-VK-WMcPX\ OH;T T񀴚U@|M8 5C  H^7|7f~8#z=! \G!gdqd.ܞT~+*_ķp#q#A&TĄ7ېfU.p̃ `pZadbR ,.Ie8C D|b@f~rdDd @\ ? c $A0? ?#" `>2A t;+ss<> ᰏ Hcm WF n'f p{@JS.h pc | =xedbR ,.IeHԡRYݏ` Lf;Dd @\ B c $A3? ?#" `A2 _J7V:gv`!_ _J7V:* -xcdd``ed``baV d,FYzP1n:&v! KA?H1: ǀqC0&dT20 KXB2sSRsV~.b9DXt9Wc5HI% Ub1bܤy<\ > 0D@'d6ܞ L ._7[ {I^FQ, *1\P<8a*#RpeqIj.E.vmc5Dd $@\ C c $A4? ?#" `B29\P*g0aXv`!Y9\P*g0HD 'xcdd``ed``baV d,FYzP1n:&lB@?b u  ㆪaM,,He` @201d++&1(\ _;ְUsi#ƹ 0&ߨ@3W&00st(|Fɞp{*da#dBܞ8 \4 =adbR ,.IeXC D|b@#3X?bJDd @\ D c $A5? ?#" `C2΢G)>EP̲vv`!n΢G)>EP̲Z % <xcdd``ed``baV d,FYzP1n:&&N! KA?H1:8 ㆪaM,,He` @201d++&1(\ _Sx8Y@`ĕjX 㷱p &_O@1W&00zQ ;AF‚ʯam1e${LUrAc SƁ;LLJ% {:@Dg!0`5f_!Dd LL0 E # A6Db ?aeYɏqr] ׳vn ?aeYɏqr]PNG  IHDRDHsRGB XIDATx^b:;! n.B*%JB*z9xTFD7G |55# E5%wk  i#ͦ# c9ȑE6%V%]#_6z}#-3&@ @OoSo6䬒Y @@O~rjN'@Q}/]qd8)%1bԜNq0s< @uKi+l%9)[  p]pr̝!YLs951' @`d(>\H7GF @@p?5h' @gn @ @O[!gܗjM>aMa ϥ𿟆 @O5&lᮨ ܭ枳fE}`9jV . _O@NឳfE}`9jV . _O@NឳfE}`9jV . _O@NឳfE}`9jV . _O@NឳfE}`9jV . _O@NឳfE}`9jV . _O@NឳfE}`9jV .zt|~O9pD=:7ԑ#܁1ebŨ pK@s1b D G>r0Q @ @p{1`> @@4%8JG1()ܗA(nxZ`=mβ}xdWmO?X'?1mh~N 9B lsԖk)T op]3#@gߒ][9R` }8Im.kb'}pgj82uki'-sO.oLy N lxs?tz8 pɾ] @&p^"$@Ik=N'@@Eɮ^\E2tB7½z<bܿ1<* Ov=((dז Bl](A 0= Xdso\`'@`4?-SJ} E 2n9 @@dזQQ @C?zs sk&P7w˒4Lv=G*dߘ{s  PRU}3UrZ5O9RhnCm[1ߤSGX((' խZy]}gd16G>r$?_4nH@pPU2SX?!mcG@Jɮr [1 Q/ @@e=mЗ?$-Gv&_nC@r.oZFļ.6[,OKLZ{9}ebt!@ @؋H"K+f-ܓ,> @!}%@ @o*pTr& tdFXMbi( G\L~26d59Z1zV6'/ܭoFHdז})?@&p  >[.UNp)܇[&L"*7RC@t^ؗ("0TOb½ȲqB d]^GMr.7.A U`ds<@@67u5h~.}Q V`V{ڕmbF}or hk\fE`XM~E8 Z1UQgX@`L?1ET>rr#c~I5 lG|q$tٖy^d!@w~]9d;/hp73-GYym?^]gH#`RF K?rvn'@ V̅:F C~iHk,ܯMUt*~pmܿ/Gjߟs΅<*&ogᾙ.@L~.}ebUq# H";܋ q4KBtn ~owp/n\Њ^ 8' y;[srh?G?|dtGyݜZ1O  քp#o- -=8Z1k-+{w_u^ $`cb VK VL M do[] do^W޼@ &{r 0 bTQǩ[@pU!Ы&{ h1 h,pY"ЇVL: 10${ 16A|ޠY Kǯ%=V=~pLI dRo߄| ZP 4߱ r#0VLiv`"v#Gz1) kj|VONM?uHAG"R`dO9Ǭ-/YWy ({{ ݍ@d98(>&,GNigb%ܧ6cYܬFE;;ٻ+oi@M@N'+()SR3ƽz 9ge̲Ȯc(4 Пdg:= ɞis=4 >poЊ|G/܏(9@*ɞLFPes$uq5/[/C >TMv\>Zh7|S.,)$`@T7Z1k 7=suM@r 4{X H&{CPa0n hupUOX@\7S Xt½(.^ >d hX wk@Up! νE9sL笫Y%ž& b$Y ܳT<q"p/FF9۬wY+k^ybԲL{El"p^@7s_n+6G&×d%'-Kj"Z1Ep|~8$}HY7N*ɞ z<#%7˅G|$0,h#GF+e:,!e6?l8d?oCQ}I%G MC* 8%ܗԞ @i(<ݟ@GSk$^LmߊyrfO[!Jݺ>yվ?'wu.PH?}S)}LGcպsOm=v:L8FBୀF+Js hq 1${0vឡM@=ZEp&n}F@r.Z1HFҷd~F/ӕԄZhPO pK@ѺZ1) ^+g${ny8-;&sAu^;yGpYD@at ½G$1I!ǘpfyO~{~n {d_Z1}hgn%$ ٭N{35=v.y _[ Њ(xsOPDS() KjW;ޓ hǫ]\L@=YAMG[hX{9~ٝN eh?{AM&ZM@W@Z1a(tYf~[ȑgT5d]+$z ݪm/6en>>#%G^=de|s/3uwL@VѧYxQ@[ D ?GF߱t$%ܧ.coxmhaA a^ab-O="?׫\Ss-?rdgɞuEMWYxafY~&1dZ HVPpjH${+yύ) cŨ ~zv.]\\@+y p[" -џcTU4n_Z {iQ) s5${ʚWq^ )Y( 3V5ݜwLWRz\@?N7bn|L>fݻdTL@+4-e:>( [! ǨsWԊ\T@-̰ÒÖ vK@ B@=D "pOTnm jͻpoF?΃wfG@ǩE‘ԉ 8)lyv#G=͐bҔDz)׉I`YR)*S[&_2;dZEz "vG4us 4yVqok\LjD@pz1{d||#_鄧$O@p?5h'GdV!S{[^5Ő`l^羜ydWmV h.!PGpߠ:S${C|&Up:='r]+ l8=XA Q~Tj4,)iJYr"%5݋@ B=3bb9ISk3- s4y9@`8^ۣ5?C+&x ~-%=U9MkA}|jឺON}›0}R&3by0>Xs;\UL@i^Z4\Fp^;*/ vpA @Q^3w Y"pַwl >Z+Y_w'[@ǮIr#D@')z jJN `Od]#PO@׳~IZ1O ?{G4TɞAO>Eہ-SGbl|Mh<=:7ԑ# ]AH*S[&_2. ߣ )܃SVd qcBYdEyse:G JO-T*}:Z5SAKv~p8=d_ך׮ A%jM>*oclb {%{̯"\̞2}kB1<aE$+&=Jd8Jc"@ pWp%1  XEa4JBs!` Ԋi_# N@7.do\'T@,&{K}&Z@)&{wO%0poPjI`0^R@+Wړ / +-/애= AP V`@N@?(w|׭ ( ܟZ Z1Oɺ/Hf @p/9K; pR@x&{IM"@pKbQm]+f:z] pI@_b}u^-' ois1 봚\I"d2̾si2 P]@"o\Lc?1iz;m`}j,9r V+ h(Sz['#GNKS\N&@@OmV[7M`1v%y:z &pvޤJ)(>/GNMZ1E݄Q}n,scs[((% N|S@@[׊i"="=m'Ȯ)YiE&/FM\B }eJYkYA@)ý&{F7!@ .C-G!@n'{e>D45٣-D!@Sv  wp }+NUqC%ܽ\(.'@/!](~N sr4`J wRK}Q gKע1 PP ak\nE@]UhZ1 Я@p.A#'@ pO;5ٻ^|OsVs ]p콯<'@Qw}tA99: w/9Y @O.ٟ^ O@n~4kD AXaxVLg:" M6v&{s @o^؛id=2Z wjx.bz%6 @~޾ O&/s[ `4t--O2Qb{T%"@@g½.#J!@@gm+R:B' @ 716\כ {۹o7 ԧ82G67'P_`pIGf>67 M½z5O~ K2ȑ/3.8GLWW5yw_@[`J\մfAD1=ge'unN>q1>i#}SG* ~^3 o}~[\FƧ E/v× "yNe˟N V͚}s'{r͵MbhR@eP՟e'7ܛw]G'g,zPj˴b-> 7y˗Lʋ򐖎DW=}yǝ_+ u|_Gܣa x<T Z&~N#@@|  pZ@&s 52B\@=~i2 @ p_##$@i~/   pZ@&s 52B\@=~i2 @ p_##$@i~/   pZ@&s d~ן=r$~͌_~\N?wȑ^N @@}O. u:FB _#0Z D |L#I[y. D S@ZL]u2e{+<o%9dkMD7*<--c+ B [wnxZ@?-h {$;~*8IENDB` Dd hFcb  c $A? ?3"`?2jc2sFDq`!>c2s@@| xcdd`` @c112BYL%bpuPNBdq`!::Q@>PNB @ &|bxcdd``dd``baV d,FYzP1n:&&^! KA?H1x ㆪaM,,He` @201d++&1(\ _pUsi#J< 0N_nl  3P{0BCܫ<22pwapႸ K80@penR~gn.p\FxxpЅ; oaAam1H0>sܞ'&? :)д!9F&&\v @ ] UÄ,Dd Dlb  c $A? ?3"`?2Ėӱ,}0q`!Ėӱ,}0 uxcdd``Ng 2 ĜL0##0KQ* Wy A?dn@=P5< %!@5 @_L ĺEvX@"V'V3Op1N '?AL6A $37X/\!(?71AarM V0Z;Mb7#MF\ Lk@Z*a|a‚cg00ը>+ss/(}L06Np{4A|]8ķŰpW dBܞ'&? \[=Ĥ\Y\ C `g!0`Nw,DDd P#00>  # A"`bh%%m§f?P^cqnh%%m§f?P^PNG  IHDR_}gAMA|Q,IDATx=O@ǃ)CH9X:D\VWhե*A2CE> p@b|M\? y+RKk8K|lRCGSZt56Zڥ,_N}&f7D1bR RbJfrڅl ̤LZV,VY}X~[wؤ1b1sn)cX3bJ ;ɖ) 0&dJB:>d29s^WjᅺbWkEzJ{klRpdlMΓIMXONZvU懘kpH0Xc8ܻ2#clMɅ4Yx& Wb>f لL ,I k=ML:1S /dJ$dlrIq6鬕V,\Ϩ߬Z^bj@a=aay-{40smr;[Rǰu [MqVNmWm -O wܖ1l|dأztpѶOuUnʭ}!Q<԰mlkgݡ6'4t#jX4v=Sk=KA+Qskmr+rPo~ǤgH}jJrضER>)dΛc\~/)LbRaJeيVRzjfytFO Ha5ߣi_U]FѪfr*QCLk%JPn_NBXQe*SHĶ+aSU3 ~K7YDe3 ~KkcmrV߶L.r%J'xq$dl2ƕ޻9aJ1ą3+"J@bssm̤]laEJ9sK){7dlMNf/Im'1 1%`3`&_bnBJkOc,cqePw6&C5ɕLI6&dY(^.;IENDB`:Dd P#00>  # A"`b 1[N qn| 1[NPNG  IHDR_}gAMA|Q"IDATx휱nPR ]!X2Tx Pu$ {Fɋ0P 6@ q%9Ǵ|[_8)'j_\Ĺ1շ?b36°A16!5_;] h- h*6_nBœ"̰y(W19%0& ~מM??/oT\K Ӆd107ք0ՀLƯ!%qa6V;Y$dL5))O{8II1)&2iokok(Vă0eɝ:;sՁL*Sa$ؙdtKgz&&ŤUD[l1˭^̐۰.3L&=:}ư)İ#&dt#X-bRL!ҙWef̐AWzWbc&GXqot!%*dҙKRbRL*0.Rkk鶱~S/s4.&f,.fX b 7b>֨P\5s&5 妶4?wc57Dm& a*En0`̥M.ʛ(֣"}=!a#,$[b>c/1uiqHG1߈s=}[`b &}c 楱oqy6CMlҥ<|D}NsL9 lT^XdN4Oc(v6bʧ}Pvnċu9lȘK$pMuS'59n .MFYĥܢ S%=5.t&ˏμɂ4dXuJܦfuۀv*v.# b5isۀWK]&ŒgHǩbRL*ZlGz?ׯ6!LBƓM̤\,j/3&.ofwunμ*(&&Ťҙ4W{) 1K f%m r$_Rzf rC[Lk ,q.5IENDB`Dd P#00>  # A"`b/ 9˚ADkqn/ 9˚ADkPNG  IHDR_}gAMA|QIDATx?oFI(JХC_Aq%@Ӝ3t-ௐv4B#hh Pͫx?G H4'xH96nlJi؎ni!XKbɆeb_ID1S20SGG 31W>f,dn|73hRm>[CJr ;L1%3 { i)a& +%ɂAJƣm9vgr8||Kh}r4Ir Kl_7 "XB$ ,`&:oGHe^ 9:L‚)r!GzҘ+s}SYi'" {^0׬^5SfTfǶuvۚZ9yM*q`݂X d=r<>leRs,*G7[ݳl<*snFx@6!T1TOʏ,c,JFLcJ?`J? !'+e@%`yt~7PJD'qrgf"`L\f57 ƪ ݟY?;i4tkAߘ 9f=O8II}ad9LuFܘֈ["QbסM dqbEaq,R%4[Roą4`l %mIho_D:0݀a2.#< !YI&LF7 fV̔-.T+m+-KLf~zgclJLPRM maHS$҈o=*l%؈23blŴכc3vf2 3ctϜC#>1c>y>9JOԹ?#`y].[="UFl0-C*lUwVn^[wѮm_`W X[+pFIUZwVZ絚\Y?c&V3.=['X`'bZ"9)v,ĢѝKPk^Lm3 |:x$nMvc!w\>(=Owg)|![O%&ϣi93+d"ݕw~WI]XQRLK޼_c"TR(y3 `bWgG{wgyf; ewn\\+nk۞fY"L"&;"ۯA*k-`Pv}AմLM!bEⅭf[T͂u8_sHE~g@5]tˤV~JU4%ͱM2jl㽛T#1K&ذUm'!T.%+b́ =HdSZj$vDM'&=AD29JN|Ak?nlmR{D3]J-?q>˙/6hYH1 b ێw0SHIb1d>QI{caj˕@%9S"*9CLm;2A.Em )|ae.pren%%%Hd`)M9w-ܞJ;.Li] Sݽ&}6% VL*Xz7)Wʦ`})G IB}\&6V׌ ַS1L00c9'`}CJ66&?A}MYUbv6o%tW;f1CJ`1sL Þ*6%MȤ9Za*sU de.ݔfoXmM&GIoWɱO&G5l_ComIENDB`FDd P#00>  # A"`b%OIYS>k@qqn%OIYS>k@qPNG  IHDR_}gAMA|Q.IDATx=oF)( u.`I;x,\ИkS P!T DCӘinh^;J:^ǔU<2;љ]kfN=+#VfAW[l+e/'1g2Ń1J(yĘ46ǘա%ϯe&Wٲ喅5blͬٳ Kq grO4\okva msgrv:[ ٦J26nsDF 8$! ;=0uc) QX om2'B7M;tMX+g;-NY#ԽOSֻgl!dt!>P&Q[`!#( {2ư=V ")aw)dT̽\~6lpJlU6vi*s ^I!LjVm^{ alτl$v rT6a$4D)+nxlͦ2m̋eh WdbY]m8%.10[,6Qb`)NIwM=AjҤqJOPc2)q2Wz% vtBboaIed8:{\E䀝AFI!c*W&s$F4Or+cӵe$bzE}7ALj0(t (6QcP)NIm$XaN1(adRR"era "D,C6 ȶNat{RWY(V&u-(%n1 |*'NXLjl*uXuS)?{Y|$¦2KإMe._0_꺰')۳}g+1|ߪIb?&(.6cpÖ34yUX+[i l#2v&}}ݤcݴݸf%)܀ T&&4iMjPVDaL.GCSڷUW_:ٝqs vȯc=Ń9c_Vm~?][e7 { ,_>l`*k؛5V8!,g۷[]*j]PPhŷTG+Ws4$kS)i<=byGAVD\k> % ##W-~0u6*a߯Wԍbk c fo)qU19fȦ 6aj{jeQ ߪP&eR3 L}(%1{t29Gaջ0(%YR2z#64bl2O&j d+ ݯ8T汾ˤ䐠pWE80uFIbSf> %/!LJ2Vxƽؖ&c/lm-N-.&heE2JvX'1![ƖqYa6JzBҒ1X )[ Z%=Mr4s- 78֛M&{fٮӼ$a39NIN9&BIM/7k)J>5V>nlİݡݛM&{W3W]v7ٛMM^k8!ʄCIENDB`Dd @b  c $A? ?3"`?2]%QhOF,f2ps_M_䂆"8 Cv0o8n+KRsA0u(2t5= b6?Dd @b   c $A ? ?3"`? 2EƢ jUͰV1Pe/)J`!]EƢ jUͰV1P* +xcdd``ed``baV d,FYzP1n:&6! KA?H1:l ǀqC0&dT20 KXB2sSRsV~.bif,@u@@ڈ++Hf%/yL F%>`Ma`x$Q} l, #tX1@0/=p{A&TX U.pȃ `p\121)W2CompObj')^fObjInfo*`Equation Native aJ_1244285392&0-F -K -K.d f(x)=x 2 FMicrosoft Equation 3.0 DS Equation Equation.39q.)T f(x)=x Ole cCompObj,.dfObjInfo/fEquation Native gJ3 FMicrosoft Equation 3.0 DS Equation Equation.39q*" f(x)= x _1244633311I:2F -K -KOle iCompObj13jfObjInfo4lEquation Native mF_1245565390g7F -K -KOle oCompObj68pf FMicrosoft Equation 3.0 DS Equation Equation.39qG* f(x)=a (x"h)  +k FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo9rEquation Native sc_1244633561<F -K -KOle uCompObj;=vfObjInfo>xEquation Native yy_1245564902!SAF -K -K]d f(h)=k;f(h+1)=k+a FMicrosoft Equation 3.0 DS Equation Equation.39qMyd f(0)=3;Ole {CompObj@B|fObjInfoC~Equation Native if(1)=5 FMicrosoft Equation 3.0 DS Equation Equation.39qM f(1)=2;f(2)=5_1244634808+FF -K -KOle CompObjEGfObjInfoHEquation Native i_1244632691KF -K -KOle CompObjJLf FMicrosoft Equation 3.0 DS Equation Equation.39q0d f(x)=x FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoMEquation Native L_1245565449PF -K -KOle CompObjOQfObjInfoREquation Native `_1245565301XUF -K -KD8| f(x)=ax"h+k FMicrosoft Equation 3.0 DS Equation Equation.39qM@   f(1)=1;Ole CompObjTVfObjInfoWEquation Native if(2)="4 FMicrosoft Equation 3.0 DS Equation Equation.39qal} f("5)="3;f("4)="2.5_1245565310ZF -K -KOle CompObjY[fObjInfo\Equation Native }_1245566164Nb_F -K -KOle CompObj^`f FMicrosoft Equation 3.0 DS Equation Equation.39qK`  f(x)="(x+3) 2 +4 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoaEquation Native g_1245566215dF -K -KOle CompObjcefObjInfofEquation Native g_1245566264]qiF -K -KKl" f(x)=2(x"2) 3 "2 FMicrosoft Equation 3.0 DS Equation Equation.39qQ)Կ f(x)=1Ole CompObjhjfObjInfokEquation Native m3x"3+1 FMicrosoft Equation 3.0 DS Equation Equation.39q;x+d> f(x)="2 x +6_1245566321nF -K -KOle CompObjmofObjInfopEquation Native W_1245566361l{sF -K -KOle CompObjrtf FMicrosoft Equation 3.0 DS Equation Equation.39qN$ f(x)="23(x+1)+4 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfouEquation Native j_1245566421xF -K -KOle CompObjwyfObjInfozEquation Native t_1245566657v}F -K -KXȅ\* f(x)=12(x"2) 2 "1 FMicrosoft Equation 3.0 DS Equation Equation.39qC$l" f(x)= (Ole CompObj|~fObjInfoEquation Native _x+6)  "2 FMicrosoft Equation 3.0 DS Equation Equation.39qUԿ f(x)="23x+1+4_1245566571F -K -KOle CompObjfObjInfoEquation Native q_1245329528 F -K -KOle CompObjeaPdk1 ^Dd P#0 F # A7Eb 襲\Aóh`vn` 襲\AóPNG  IHDR_}gAMA|QIDATx1oFe`.:E 1:x,hk}S P!T Dt t*+vs<~?5k-4a<`yaYX)Ҁjoć3Ư)^bI)~G1))*0Sl{=Ic[/z82g6CIW2Q6AGL*0gv Mm{x 1B[zw uu]`|%ҿaA1I)?3o4<0Pb 3']dqE}2jETq/KD+L&r/DVK,@X`W2ǰ.`S`|%]&})`)e?Ş&b7Y1mlYT`l%t%6c+9dҏD*J^ςi˸L@"c<`:YV="c ӖJv(&k1]lâpl,*j]*v)b aC#fH4_rbTpM6(dHX:%u.*O$uPAMiZĖ~OyJXay3ٗ yJ80Y]-˚Re Del;E YX[؀cƬ6\ĂپJ%ϖyT̮&gJ CZռ-bO rdC ,b}QXb;5"b{]zFMMl;ӎ[lv2cMϭD& n1X>O[n밖XߛF5$dM+o ljRWޚaM[ت9y;}-5=VHa~w' Ч}M5u {Wzw4җ<:muzrT76;#DO煬` a,`bEb\<};jwQfC.(I~4XC]PF"r~T1yܣYuGt1#29PJ w՜yLAq2V SXX=fbC0+rqƘL[h3~)Qi1C %۔L@&ϰuaXl#&an&/'L:Τ3\f~]nk/0}l=aȼ#D MP03ڮf@0/1b %'|,3sanfl.3_8Τ3L&]f,kǜIgҙ&ZBUIENDB`-Dd P#> G # A8"`Fb<#`aoGAwpvno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`-Dd P#> H # A8"`Gb<#`aoGAw vno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`DDd hb I c $A9? ?3"`?H2=ëh= ,jv`!b=ëh= ,r@@8 |0xcdd``dd``baV d,FYzP1n:&&6! KA?H110| UXRY7&,e`abM-VK-WMcPX\ K3cF\_UBkGy 3@FhVpDwCasdBܞ'&? P 27)?qG!W 2¶ ;\4n=8gdbR ,.Ie0ԡRYݏ`$vDDd hb J c $A9? ?3"`?I2=ëh= ,jv`!b=ëh= ,r@@8 |0xcdd``dd``baV d,FYzP1n:&&6! KA?H110| UXRY7&,e`abM-VK-WMcPX\ K3cF\_UBkGy 3@FhVpDwCasdBܞ'&? P 27)?qG!W 2¶ ;\4n=8gdbR ,.Ie0ԡRYݏ`$v>Dd h\ K c $A:? ?#" `J2[gjRv`!b[gr@@8 |0xcdd``dd``baV d,FYzP1n:&&6! KA?H110| UXRY7&,e`abM-VK-WMcPX\ YUsi#/ } ƕg#7w &08\40a${cP #*O?& Ma`G!W 2¶ ;\4n=8gdbR ,.IeԡRYݏ` uwDd L|b L c $A;? ?3"`?K2x҈ʠw -2v`!x҈ʠw -2` 0cxcdd``dd``aaV d,FYzP1n:lB@?b 10sC0&dT200pE1At 2Ba`<b 30~fU@QUTQ{ъ՜kN 1 $ L &OA $37X/\!(?71AarM V0Zn͟bF\OtVTOQM ~Z%} Bܤ#\ > ᰏH0f.I 7wM=Ѩ&80@``#RpeqIj.= @ ]` U rDd 4b M c $A<? ?3"`?L2&cR Jvv`!&cR Jv XhxڕR=KA\ˉgL! DJB $)-p!gEP,"?Z``ٽ,^=ޛys 3@'-=ahYDg Ѥ1%1؜9d,p}"XVW 1@AGev X+BhCuBZhOBj3h:L2Cz|-v/YR^G۞[s݆z=pn:in{c.d7,eQqŝ(Cou%şY8~~|g|o :d>.%Oz1I%fTtxVco}WS}QV} S_c8d ^)^l6Do!Z Gs q$']{tDd P @b N c $A=? ?3"`?M28!ݮM`Uv`!8!ݮM`U `xcdd``Ned``baV d,FYzP1n:&! KA?H1:@1aP5< %! `35;aV&br<5Xk4>:]b mĕXҙX ;p~kipTQ71@ԣT@(\0IB8? ;d6.DacqIq#j #4pppxi% 5? U#D=4ֹ)Lh 0y{iI)$5NE.z2MubDd X@b O c $A>? ?3"`?N2&{_]WXgxN\{ v`!&{_]WXgxN\{  7 Nxcdd``ved``baV d,FYzP1n:&B@?b u  ㆪaM,,He` @201d++&1(\ _CXt9W%.VJ +pv_wa9, 1ÄjpB I9 |F_8AF)`a$1 02! nO5.p̂g `pZ`dbR ,.Ieԡ"|b@#3X?nw`Dd l@b P c $A?? ?3"`?O27UgX|"v`!~7UgX Xh Lxcdd``ved``baV d,FYzP1n:&B@?b u p30 UXRY7S?&,e`abM-VK-WMcPX\ s}cF\ @ZM+a &A| 8_ķXP{1>p#<,@penR~C=$F=@&ib𹠱Yp@LN LLJ% @0u(2t5= .pVDd b Q c $A@? ?3"`?P2 >xyG|$v`!t >xyGZ ~ hBxcdd``e 2 ĜL0##0KQ* W&d3H1)fYˀPP=7T obIFHeA*CPD1U EXLjLH+L+AtOA $37X/\!(?71AarM V0Z'Mb#~#X@:+*a'&?>PP@penR~CiB8c5 #lK? 2͝2B~4*)5 =edbR ,.IeԡRYO`ixDd b R c $AA? ?3"`?Q2e_1K#T2'v`!e_1K#T` hdxcdd``e 2 ĜL0##0KQ* W-d3H1)fYˀX(T UXRYP,@1[)a +%̤aĎpĎpDYB2sSRsV~.bi{q-` ̮_p9V'OQ@Jt+ss p}XQɝz #buf$ ^&3@FhW \[[N+LLJ% {:@ |b@33X?CuytDd P @b S c $A=? ?3"`?R28!ݮM`U)v`!8!ݮM`U `xcdd``Ned``baV d,FYzP1n:&! KA?H1:@1aP5< %! `35;aV&br<5Xk4>:]b mĕXҙX ;p~kipTQ71@ԣT@(\0IB8? ;d6.DacqIq#j #4pppxi% 5? U#D=4ֹ)Lh 0y{iI)$5NE.z2MudDd @b T c $AB? ?3"`?S2mHV@E,v`!mHV@E@ h Pxcdd``ed``baV d,FYzP1n:&&! KA?H1:00 UXRY7S?&,e`abM-VK-WMcPX\  Usi#F;nVJ?ׄ'Fp>_b|0bB5o##<,@penR~^A;pD@W]=& - Hb8Be2! nOE.pL  `p`dbR ,.Ie(ԡ"b> 1qnm}Dd ( @b U c $AC? ?3"`?T2q\oHRV>Y.v`!q\oHRV>Y@1 ixcdd``.ed``baV d,FYzP1n:&&! KA?H1:9ǀqC0&dT20 KXB2sSRsV~.b/9ҾUsi# ~VJFp 7 p&p'a|0ΏcF5o {<!a/0+ss|f/(ÿ xAF"8QXQN,/1BHb@wgȄ4=M >4UpS8iBNkLLJ% _A0u(2t5=È|qDd hb  c $A? ?3"`?2 kCWUΚ[;Ds`! kCWUΚ[; @x|]xcdd``.dd``baV d,FYzP1n:&d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`9Dd P# J  C A?"`b<#`aoGAw&sno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`-Dd P# >  # A"`b<#`aoGAw_sno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`3Dd P# D  3 A"`b<#`aoGAwsno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`Dd lb   c $A? ?3"`?23lAn6jBs`!3lAn6jB  &qxcdd``f 2 ĜL0##0KQ* W􀙁WRcgbR v@=P5< %!@5 @_L ĺEX@*6;35V ZZǠs&+|-gM;1lWHI%/k ! ׀{ﰂP~#oW? <F~,A 27)?\ |~&p|@sq򷰀p~ 3oF&;A&Tyˆob*) Jq;+KRs΁ePdk)Y=LxDd lb   c $A? ?3"`? 2X̨:V(үD!s`!X̨:V(ү yxcdd``g 2 ĜL0##0KQ* W A?d@=P5< %!@5 @_L ĺEvX@"V;35V ZZǠs&+|-̖1lW-nVJ?ׄqFp=V_a‚,xռLy0BCܯ<3[rB܁%\ \` p'\ #t/cG02R*6 p{0@J.hJ6p02@"OF&&\x @ ]` bg!0`wDd b   c $A? ?3"`? 2YT2Hv>sԭ#s`!YT2Hv>sԭ@ hhxڕK@߽$mUA!JT`A]DC? )ZA]]\t(U {wI0}}ߏ@9f*L- - kd3+f[3!Đ P1aک6$ e-Gݫd!֊h= ͓UMޕI_`VcCf>g"?BRwUVTX /Z_Aywِ Blȗկ3yKw:ۍ]ׄ}Nџ"f1R:q⹐u?"*ab2uXOk1ċd/) o!NfvOuGLPH5H("0g~SDd lb   c $A ? ?3"`? 2l]DžVwi&s`!l]DžVw` .yxڕ;KAgˡG`qZA#1P DL XXX)a!A`sg so0L|`DqzX1 @zKl*%uFJ o.6i(l»XmCԄ9lT;%9 :aYzO"] ]T,1{0t7;zsݤ zN.1#x=)uPyd|U _)_=ԕ!F\3p* (OyDd P# 0   # A b<#`aoGAw(sno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`9Dd P# J  C A?"` b<#`aoGAw.sno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`-Dd P# >  # A"`b<#`aoGAwN3sno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`3Dd P# D  3 A"`b<#`aoGAw{8sno<#`aoGAPNG  IHDR_}gAMA|QIDATx1O@ǃKUW$UT,#CJ mB*H$T9񕼃? ᝐm~/J_Z3ć.:u(ZnxGGYXaLR %RbOĤ%0"&bJbڃl ̤LZV,VYyX[OU٤1b1sl)aX3bJ ;Ɇ) 0:dJBZ>d29cҏ uVԒ:V٤>&$%Y,Lres9ư,3?ĔX`.5Wl. f23sG7gwdpMI69& OdJ̥gzw<!&=K||9dMs0NGDS5Y6&$/3{lRLO:Slsi+eg濳Rl{f2X~Bnf^Vr_֗ ''?İ5(dSM.?t@#l X_"-i2^Q/~)OajxTSUS>5*TW ¶ ۭhv=nIUd0B{Kۋ ڭU'K S-# SX0A=S&;TV~'tb襔D5V7XIi,&%?B/kXॱ4!L6T/ӱ)QYjJ4,V=eeBOզ,\zd'_(^^S쾡>-k+c}R>{kܳ %)uޘ<LMT r.sltO~x6cp`ؠo6cMONkV <1|IMÛ 6&̚|V \)ah w~%vŒ% v؜+XtŶHA^Vѝ36<ŞI~vI6&x&fM?{_IژS`;0cf%Y:~$?3seGw83'dl|R& $dmd1*}%IENDB`Dd bLJ  C A ?"`b%LߛO*q\=sn%LߛO*q\PNG  IHDR~`gAMA|QcIDATx1oFO2tc] dC2fL =dBBh:5+eU-DA4/tѺ#e:8O>/>~w$X'G jKnsBG1j:-F]Hξz:?P-/Uw5㘏9,?~#XhOȸ\yJxK0|t̶1u84"Zf#;Gv[T?8^]o8px `V!`#Z '19 ǂD>3Ϩ QdWq-cq<u,C8"{92y Alk#:fݞcE;䘬{WT82/-xÕ؇_^K%k+nZh-!\i{b5Gz9X=UgIENDB` Dd bLJ  C A ?"`bxWZBr=]ZJsnxWZBr=]PNG  IHDR~`gAMA|QuIDATxOD5 `!I|@ijŁ#AYc7a?¶̞#`39a*UuzF+m,3OsڞZp=O۴ \-lZxιBl#u\[ )TN[[..S1o9"cՔ7~#!26w! 1") < B3gK ՗W,1[Pv_:x]>R[={ Q{K9@= HA<.NQ )^u/My|. zBHC\q4T0C<1"c> ] q]:m~Hw$čF|.n:ۈU1K."D#Po%, - la\p)h?ٸ 7~pYBE? Hxr~N! PҿL!mLۘ݅_DIE6FoᲐd9?< SmdrDhօȃ=ٵعTH1!N)g_V7oc<  FWorksheet Builder Equation Equation Equation9q\ f(x)=a(x-h) 2 +k  FWorksheet Builder Equation Equation Equation9qObjInfoOle10Native`_1245329520 F -K -KOle CompObjeObjInfoOle10Native`_1245329509 F -K -K\ f(x)=a(x-h) 3 +kU FWorksheet Builder Equation Equation Equation9q\ f(x)=ax-hab+kOle CompObjeObjInfoOle10Native` FWorksheet Builder Equation Equation Equation9q\ f(x)=a (x-h)  +k_1245329468 F -K -KOle CompObjeObjInfoOle10Native`_1245329595 F -K -KOle CompObje FWorksheet Builder Equation Equation Equation9q\ f(x)=a2 (x-h) +kOh+'0 $ D P \hpxObjInfoOle10Native`1TablenTSummaryInformation($DC)TΨ~9qFs"jM؉BJF!\"B:MdFgjzi;dUI_ruy)Bd~&[ rf B>Tx!L!?*?|Wypِs5oC`4.DU.[kYGzGΌ]^Ȍ'dr.'|؆HGz~}92S'`s>8/I)I d,گ0>( d5D˘ b^JɣQ qrӅ-w3"<3ƚM v\ ӥdXd|3\wE[Ō+q:.6m#b^byt i!\`Ӆ{fɣղσ 1]j !h`j % #1]J ˂+=.z%Hz$$ f,kD.< 8┾}!d !Ӊ6]/O f Pb%h}?RBLsWу\L$"ps>/f8QuIENDB` Dd 8"J  C A ?"`b =Q5%*bxg Ssn =Q5%*bxgPNG  IHDR H蚡gAMA|Q IDATx?H{YP쭅t g!>E\2cm{̹W rxeo@Hn,1 Hk8#ЎTUeW]n}Zvok]{VSg<҈(D

EPpL.' Ѥh׈EVH/?HtAʉ"Z]Kυrp"\HDN("E!XiŧϮ{`y?{gp$:GHhH:#:Oc.xq:CHunD Cx ӹӅXF\.uΉh^+EVV1o2[^1۰nUfQ^#傾D6# G#69A<\hcv )Bw(`D@ #&p1 PDa#b`Frֹ0uQ!\bBi'MC.:΅#ZMwQCu:y:FL3F#ц=]|\ek14.:B'#]Q@3B-%TQψšcXB 1w!sY./ЈchF,%Z:g'h2M^ DF.fBD Ⱦ"Z墈.rN ^> c9^aLΊCWH?E"&p!iCpDG$wsY.D$&g1q7P":ME ֹ,B:jg0\HeEBpQu.0W~<1?;VJ , H.2>@gϊry0B. bKwIf >"ρ٭Q:g? kڀubay1"97sz&}?B2 t |.L DjNu й(bExʀ[,2ai]\! C*aNH*pXw"&pA2$#4](@lB1yPF2݅B@t.Pa& .w<$" HP P c qq::(#"sabtGyfwEυ>% i y_BwHEЇB@t6.g;cuOiB\g" mFX FGO,"y__bY E.,>veő(o)Fـ/#6V[-}펻@ ^wLvqk#@Dn#r7\YŽz|Lڽt"xP|mȷg|Y8hr* 5Am A\#{-B#{[-1R*~,W}ڞ . XnJ܍h"S[  #۸}z@|޹xTx?I#>F!~F[!HB2#;#_30"!B]?@F)8tvKF>zHtژ7DW."XtD#K F0eo+ZPkDks6Щ#bi4 QD, ~PZ2@HwC!n$ !!K w▵o9hӕ@ާr6(sdDl';upF 9C.IS"ztweysή":G e0Cg}!{hZDQ!]."Ȍ*="_È*$#lgb۵#r, "Wv3Pb+x+4g=;3" mG͎0\# QaЭ*#D/еA&Adf:F!bݡ!MxunWG D.9|N7Ėm"mw7- 97k tQP:UJYk0m0 !o!TPĄ)J'Q ?OiwN5(dgPATW!zQT(PgRE0*vLZ)FWް.JgdfHfd!y a܁٦dA3yra1ڤ6-~ [2gKmsTRbe[԰Uw"۪-W暑U=>Ε 6:4%b)Ӱ 䄦C?, iJ:B1w WT捏8l".1b671`\ZIZg: Xv́V+-ў-ƛLl4MLM[B;V6Te>MoL6*잱}N\]blRglL3Дt5J垱f2)sg iJhXblEFP)kvJf43[HJ:ٚ5Cs7x%"vt&2&Т-&X3N a[lad;JՌmä6M1L=F*'40֬fsf iJ:\Ze \ٲ"⣄0ʖ0W6}/CQvy̕U0k?Us j;V\^A$\b= j VΉ|xC]>!Sak+pk!F碆+Ļ5L]$S-V82'SRn~'_a'. n.v{CA0ᇕ3`iĬmur̈Y͡761~]Z9RR$, I&R"ƌ-[HJNbN2 Nްe 1 qa+.Y=HJ`clz!y)̒m&HJ&^Wgt)1-:W#O i+;& oiܜc36apљg?4<4sDJ$3_Lދ] k2ǦDJ2ο!` #+fSu IAdL'(3A†`R#sľm, -,ƌKǔ+ɏ$,r4l&#$lg2px((4pa`D$,. Ȗ毑dZ Ho,[I<{X:Oi2{0JœbӜ ӚJnX$|ͯ*ʊ5[ě K{H2+̾M( tW䚦dAÎ]Ԋ6 J6I&k dK+YG$LޖkR}~#(nlWkw1nɽɽɽIR{1777 aIENDB`wDd P# J W C AE?"`VbiNDLzv=v vniNDLzv=vPNG  IHDR_}gAMA|QSIDATxݜAFZ/ #9VU U/=PL9ZiBS$h8TO f%T*o8=3e씎q<13mQmqyrVDf==,,`Kguyė XCbG#i?%eBL["&SL#H3Yb&ϩJzlbl,/ V{d0%N00۰:[BJR K0KLɼeIb SgDl+S<LfʦB[D,L %m,R¨V:|9\n#6??.̯` 6,fYd)qنW&m)q!,*s? c&ra1MeުSd=aU+<ǰ]:SLIH.SLkEICXֵ7M/Fn0] V߃*sioBL 6,F&|?`EN0b6~Mf;'1[}cذJ^bOZ2Ĉ3H#lX%b&[wz$%L&daEԁqhJޔvĦ$G^R_ 8f0u0l,b{c3)e1[)qG-[))B7-p W%9E\x00 @,1re_?RZd C1'R٦&bX-fE4*dTb7*EZTIYTB bC(;k6-I}JRl/I>I.6Fu  N&ԅ/yϟΪu{İKt 0$\Kd·n,韛mzIɲuyȰcw^1,1_)f% ֽC_q7#p$罄S7ؒ?~=ܞcؓR+O$l*Ǔef2 B&W5"dxblP*2lUe%c|6MJ 56uۺ›&V:Lmuo96&ݧUF s:[5lJDR 4Rx6)0Lstq7|i1c6)PbTmBu:*= ԍ쉺23ǰϞTS,9YbgOL\e˕ [l%LsR~fi)t,1x3dKmMl2ބ-2 500 [`XLL{ 6,f6Ŕ̜cl {ذJL35:* Pe>Lz̔-:{̔-3&_c&LBL{c7 S*`@-x IENDB`Dd P# J X C AF?"`Wb8)ߔAa'vn )ߔAa'PNG  IHDR_}gAMA|QIDATxADJ氒A\:GG*@٪$zQ9)8qh" rP5NWjK%z=3Ǟo^.|ZIGdl3h4hy<)*RMX7v!P*n3q+vŭq  _ubzO% 1$#(Y`غm&lg%l֖H]M`2jfk:0#6,gkD\?Fahjի %Ca` ,dT͖0:aؚfm)Y1nzLls-i&Ɍd2eYI0檛Bdj')cĽ˫c96ٶ@o-ߑ[[bjl&X#@X^fd ,FLSb!fgL@X^fчҰsCJŠlW+o 9Ol^m)A135xfK]jVXQ4z)S۠gΜJGT%WEɱW.J=yT*;U޽ZC{w,LTbVdԙ[Z%[,LTb\aVm %"aEAJR¸V )O +M1% 0UVXm) 1,:*/[ֿi-vG5i % kU;tQr0&қa vAlF5)Qa)-F:Yp I;%I4|B\AyL7:.c ػ^Yhc|9bghϲ8{&[#fmRtd9&{)s ?ELȃ 2Q%Y`da8_b!d2%aFkJc Rbstݙ{VI>m5OmMM!%g 1Jcsg ";W-JY{g~ޅw-ٲ淣3onϖud{tsdek[(I<%4&$Հ5U4Rkr:>fK|ʅsV.D=A tc漣겜N>M*nbX9JV>9 a))[dē[JQHbxJռ#&|9}GٻוLũ{Dܻ."ϰr)6/ſ/_ p)y)ϹgsLt Jr&{`=.jq;ׁiUVa;O5,5a+ɷuDStjGLsy5ʅl1 &GsSϥ6Ybof{WcK|,~W1;Ad`9w00B|WY.~~aJta&ol،嘭00 ,1cl7 ̦ ,5cl? v p!%&3ֿ;sPJtJE$dikjX&.V2y a3xQb<0^f[IZۻ͘6M{Ðlm}bk+8v V ް+UCXlĴ%1k%a`a1}6RiIZIoذJ[d2ePF^-[j6,=])B&CA&D u#fҙA&3HɔA7@:&+i?Xlpkuԙ:HVImXLm)11*S6,~G-”نŐlmM3q-鳑40Ф1c O&Hgfߤ Z43kLIENDB`Dd P# J Y C AG?"`XbarshttUQWvnarshttUQPNG  IHDR_}gAMA|QIDATx휿oFϐ.RK#c *A(CF] _h;e*FA'؎pH5PЍE{wXq# ,ZHKL"baЌ}al ~|6g&, XQ#F,%2~昔;6rLxSrxوY3)y&5cf[/l?JU}oͶ^ 6 YJ2v3$`E.cR $`X C߂-eb#(ƌ!_AlVl1 xBU=ۼĝM%̪dpA֒^s#-}o퉘Q"lDvPaB<!4k,Xں3b{<У3l瀽 Z[N/NO<9dTk^N\Dk +s;mw~Q{PƑ*6g⤉@_>q%_b5r~KZ&'0@fzDlZkӱӖ1 0"j45,ϿaRz rd=_09 h*b+X5&[/9`"FtW*暭*}/N~S$ɾјݤodÓ% $ s³' F,!CI+lJp N~ aM,,He`@2L avLbr<K>bi ,@e@@1q%00tUfE>ͪ\I<aCWc@R $ TV? B:*&&H+05XܤR.p=AFV^DtDNpD"\И:$0 .``cI)$5!d;P"CXXt!z1dx eDd hJ [ C AH? "2r7_4<qcv`!r7_4<q  @x|ixcdd``ned``baV d,F1J@Yp1&<|@?6 -x0rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%b4 2]b00tUfE>ͪ\I<aCWc@R3$ TV? B:*&&H+05XrOpenR~Mp=AFV^DtD@"@ _p0,`.pz MN;LLJ%  : ` ~eMpdDd hJ \ C AI? "2܍dE]Ԭ@ȶv`!܍dE]Ԭ@  @x|hxcdd``ned``baV d,F1J@Yp1&<|@?6 -x0rCx|K2B* RL7S?s&]t@Hfnj_jBP~nbÎ%r)2]b00tUfE>ͪ\I<aCWc@R Aw+InedvFe\dHDI],a'27)?!@|&\aq#.f"* ]$.6Pb) #+ i Cl``#RpeqIj.CdE. X;_2_iDd hJ ] C AJ? "2/cbVP2ER:,v`!/cbVP2ER:` @|mxڕJA9 jaaZ"`o H FH$XJ*@ @ /`sf6KXp,|s3+b5>X  (AGN|e@{J4fsj?c,j^.P#%䜣fi$b3Lg<]|)& ICD{ſz%}KÉy{b/k<֥3Ԣ0s7)kH^L0YS ^tCJ l]=n0:}L1#}4Dd 4acJ ^ C AK? "2K,PN"l;v`!K,PN"l;8 XhxڕJQ=IEZH-31l2P".\h[ԦED.ZzBQtLP.8ws7g.rNB0|Y͐'#hv4KRN]4&,[R'a l^QwøsZY-}`K(>X$b! 0Ϧ<]1%RYuO Uy mU27LB>O~;N$!Yڱ̆Q0[F*ȽJOވ| Ixe<2G!Nt\$84 ¿*b#p '>r5j~OZ]n.I?׹ytWќ'!%!"v"m4M zv`  [08!EnDd hJ _ C AL? "2t@?ݿ6L߹C*(v`!t@?ݿ6L߹C*@ @p|xcdd`` @c112BYLGcbg"_] #l+/E9A"@,B+k=n0ejN+#`.p> MLLJ% [@&3u(2t55@Ka4Section 5: Transforming Exponential Functions, and Ed_user Normal.dotNina_M3Microsoft Office Word@G@|@G R<՜.+,08 hp   Materials Research Laboratory$F DocumentSummaryInformation8hCompObjq 4Section 5: Transforming Exponential Functions, and Title  FMicrosoft Office Word Document MSWordDocWord.Document.89q     @@@ NormalCJ_HaJmH sH tH :@: Heading 1$@&5\>@> Heading 2$@& 5CJ\DA@D Default Paragraph FontViV  Table Normal :V 44 la (k(No List 4B@4 Body Text5\(ivH (ivH5Z[jk89] _   ( * xyz !"#$%&'()*+,-./012Nop>?! ""#u#&$v$+%%%y&&&F''''''''7(((((0)1)6)7)i))))***++,q,,-4-S-T-....///L1M111+22~3334455555555 5!5"5#5i5j5k5l555556`667x7-8r8s8t8888!9"9^9_9`9~9*:+:,:::::;;;;;;<<<< <!<"<#<$<%<&<A<g<<<<<<<==1=2=y=z=====G>>>?? @@@@@@^A_A`AA0B1B2BC CECFCGCHCICJC D!D[D\D]D^D_D`DaDbDzDDDDDDWEkElEmEEFFF F6F7FiFjF|F}F~FFFFFFFFFFFFFF GGAGvGGGHNHOH[H\HgHhHHHHHHHHHHH0800000000000000_ 0_ 0_ 0_ 0_ 0_ 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0(  0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0( 0(  0( 000000000000000000000000000000@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@ 0@0@0@0@00000000000000000000000000000000000000000000000@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@00h00h00v0h00@0@0@0@0@0@0y00h0 0h0 0 X h00h00 ls@0@0@0@0@0@0@0@0@0h00g<<<<<<<==1=2=y=z=====G>>>?? @@@@@^A`AAC CECFCGCHCICJC D!D[D\D]D^DzDDDDDDWEkElEmEEF6F7FjF|F}F~FFFFH@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@ 0@0{00{00{00{00 {00 {00{00{00{00{00{00{00{00{00{00@ 0{00{00{00 {00 {00{00{00k@ng0 Test"{00{00{00{00{0 0{0 0{00{00{00r{00{00{00{00{00 008;'B+.P0013_8|:<6>?DzEHJJAK:L7MMzNOPP),/01345789;<>?ACDEFHIJLMOypu+61M9=BE KNOP*-.26:=@BGKNP+ &:<+-] o q !!!!""$"6"8"0#B#D#.%@%B%S%e%g%u%%%%%%{&&&&&&''';(O(Q(^(r(t({((((((((((((())),).)l)))))))))***?*S*U*w****++---.... / /L0^0`0e0w0y011111182J2L2i2{2}2Q3c3e3333333333344<4N4P4666"66686H6\6^66666666778889999:M:O:;;;h<|<~<<<<<<<M?a?c????????@@+@?@A@@@@pAAAJB^B`BnBBBBCC C C"C-CACCCbCvCxCCCCDDD%D9D;DCDWDYDDDDEEE#E7E9E?ESEUEpEEEEEEEEEEEEH:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::EWYz,.Rdf::::::8@>(  B    B    HB  C DHB  C DHB  C DHB  C DHB   C D HB   C DHB   C DHB   C DB      \  3 "`  J  # "`J  # "` V  # "`  B    B S  ?( ((((1)2)3)4)5<<<<g<H)"*MtzzTt tt&td t &t d t  t t T g tuat%t t stP#Xtrs`6e666667777<7X7]7FH4 8 , . \^?X ] !!'#0###+%s%&&3344<<2=3=??AA)C*C@DADFFFH3333333333333333333333"##&$&&7(7)i)),-U..u3334l55&<g<?@7FFFFFFFFF GHMHOHZH\HfHHHHFH>)S\|Dc`+Mo$ \^`\5o(.((^(`.L^`L.  ^ `.  ^ `.hLh^h`L.88^8`.^`.L^`L.h 88^8`OJQJo(h ^`OJQJo(oh   ^ `OJQJo(h   ^ `OJQJo(h xx^x`OJQJo(oh HH^H`OJQJo(h ^`OJQJo(h ^`OJQJo(oh ^`OJQJo(h^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHDc>)S+Mo^                           H Lo\@FF {FFH@UnknownG: Times New Roman5Symbol3& : Arial;Wingdings?5 z Courier New"qh6&7& R<$ R<$!824dFF 2QHX)?o\23Section 5: Transforming Exponential Functions, and Ed_userNina_M