ࡱ>  cVbjbjUU ;^??$SSSSSggg8,gv/:.......$124.QST|.SS0/SS..,]. d~g9-.F/0v/M-44(].4S].H..v/4 : Tables X Y Input Output Independent Dependent Domain Range Left/right Up/Down F(x) A point is (x,y) To see the Table on the calculator press 2nd Graph A function will not have any x repeated. In other words no points will be stacked on top of each other. Hypotenuse is the diagonal and the longest side of a right triangle. The sides of the triangle are called legs. Pythagorean Theorem is a2+b2=c2 To find the hypotenuse square the sides and add the answers. Then take the square root. To find a leg square the numbers given and subtract the answers. Then take the square root.Equations Distribute parentheses: multiply the outside number by all the numbers inside. Combine like terms: the ones with the same letters Add or Subtract to move a term to the other side by doing the OPPOSITE. Multiply or DIVIDE by the number in front of the letter. To solve equations on the calculator: Press Y= and type the left side of the equation in Y1 and the right side of the equation in Y2. Then Press 2nd Trace 5 Enter, Enter , Enter and X is your answer.Pick Up X Slope-Intercept Form To solve for Y: Pick up the X term and move it to the other side. Change it to the other sign Divide by the number in front of y. The number in front of x is the slope and the number by itself is the y-intercept. Y=mx+b To graph the line on the calculator Press y= and type in the rest of the equation. Real Number System Non-Real Numbers-Undefined and Imaginary Undefined- when the denominator is 0 Imaginary- when there is a negative under the square root Real- Almost every thing Rational- any number that can be written as a fraction, includes whole numbers, integers, repeating and terminating decimals Irrational-any decimal that is nonrepeating AND nonterminating i.e. it keeps going and going without a pattern Integers- positive and negative whole numbers (no decimals and no fractions) Whole Numbers-0,1,2,3,4,5& .. Natural Numbers-1,2,3,4,5,6& . Inequalities One Variable Open circle for < and > Closed circle for e" and d" Shade to the right for > and e" Shade to the left for < and d" Solve the same way as equations except when dividing by a negative you must flip the symbol....... < becomes >. If the variable is on the right side you must read it backwards. If there are two symbols the graph meets in the middle. To solve inequalities using a calculator type the whole inequality in Y1 Use 2nd Math to find the symbol you need. Then press graph and trace to locate where the line begins.Dilations Reduce-to make smaller (ratio smaller than 1) Enlarge-to make bigger (ratio bigger than 1) Preserve-to make a copy (ratio equal to 1) To find the scale factor: New coordinate  Old coordinate To find the new coordinate: Multiply the old coordinate by the scale factor To find the old coordinate: Divide the new by the scale factorEquations (Linear) Linear means line Nonlinear not a straight line Slope: rise/run , (M or A), steepness, rate of change , miles PER hour Y2 Y1  M= X2X1 Y-Intercept: The beginning, the fixed amount, B, where the line crosses the y-axis X-intercept: Where the line crosses the x-axis Y=mx+b Inequalities Two Variables Solve the inequality for y If you divide by a negative you must flip the symbol. Press Y= and type in the inequality. Move the cursor to the far left of the Y and press enter until the triangle you need appears. (To get the shading choose the upper triangle for greater than and the lower triangle for less than.) Press Graph Press 2nd Graph to see the table of points. Scatter Plots Positive Correlation-when both variables increase or decrease Negative Correlation-when one variable increases and the other decreases. No Correlation-when there is no pattern Line of best fit should go through the middle of the points. To find the line of best fit equation: STAT Enter L1 for the x values (or the first column or row) L2 for the y values (or the second column or row) STAT, right arrow, 4, EnterIndirect Measurement/Percents To find a missing side or to find a value that cant be measured. 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