ࡱ> 352v'` bjbj  R$L&L&L&L&4&t$n7'$$($($($(4446666666$$8h:h74s304447$($(O (75554L$($(6546555$(& GL&4R56>70n75:A5.:558:5\4454444477o5444n74444$$$ $$$$$$ Alg 2 BC U2 Day 3 Piecewise Functions Remember: A piecewise function is composed of pieces of other functions. For example:  EMBED Equation.DSMT4  Graph it below and find f(-10), f(0) and f(10). Sometimes, piecewise functions are continuous like above, where all of the pieces are connected. Sometimes a piecewise function consists of pieces that are not connected. For example:  EMBED Equation.DSMT4  Graph it below and find f(0) and f(2). Try to write a piecewise function for the graph below!  INCLUDEPICTURE "C:\\Program Files\\TI Education\\TI InterActive!\\TIIimagefile11319.gif" \* MERGEFORMATINET  A special type of piecewise function is the Greatest Integer Function. It is denoted as f(x) =  EMBED Equation.DSMT4 . To see what this graph looks like, graph: y = int(x) Can you tell, by looking at the graph, what  EMBED Equation.DSMT4  does? Using the TABLE function: Choose 2nd TBL SET: Experiment to see if you can determine what each of the following mean: (To see the table, you need to choose TABLE after doing TBL SET.) TblStart  EMBED Equation.DSMT4 Tbl Indpndt: AUTO ASK Depend: AUTO ASK-+  Now use the TABLE function to fill in the chart below for f(x) =  EMBED Equation.DSMT4  XY00.10.20.50.90.9991 We can graph any greatest integer function by simply making a table of values. We could also use transformations, but well get to that in a few days. Example:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Extra info: Graphing a Piecewise Function on the Calculator: For EMBED Equation.DSMT4 , the notation would be  EMBED Equation.DSMT4 . The greater than and less than symbols can be found under the TEST menu (2nd MATH). Try:  EMBED Equation.DSMT4  Homework Worksheet: Graph each piecewise function by hand: 1.  EMBED Equation.DSMT4   2.  EMBED Equation.DSMT4  Graph each function by hand by making a table of values: 3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4   5. 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