# Piecewise Functions.pdf - Name: Taylor Date: 2/20/2021...

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Guided Notes:Piecewise Functions1©Edmentum. Permission granted to copy for classroom use.Name:Date:Piecewise FunctionsObjectiveIn this lesson, you will analyze key features of piecewise functions algebraically and graphically.Building Piecewise FunctionsA piecewise function is made up ofpieces that don’t. Each piecerelatesxandyin a different way.Review the different function types.LinearIn the formy=mx+bwherem:slope andb: y-intercept.Always aline that is either increasing ordecreasing.This is the graph of the parent function:f(x) =.Polynomialdegree: ends of the graph reach in the same directiondegree: ends of the graph reach in opposite directionsThese are the graphs of the parent quadratic functionf(x) =x2and the parent cubic functionf(x) =x3.ExponentialIn the formy=abx.0 <b< 1: function is alwaysb> 1: function is alwaysThese are the graphs of exponential functions𝑓𝑓(𝑥𝑥) =12𝑥𝑥and𝑓𝑓(𝑥𝑥) = 2𝑥𝑥. Both have a horizontal asymptote aty=.
Guided Notes:Piecewise Functions2©Edmentum. Permission granted to copy for classroom use.EQUATIONS OF PIECEWISE FUNCTIONSRationalHas a variable term or expression inMany have 2 parts because the denominator can’t beThis is the graph of𝑓𝑓(𝑥𝑥) =1𝑥𝑥which has a horizontal asymptoteaty=and a vertical asymptote atx=.RadicalHas a variable term or expressionthe radical signSquare root functions have domain restrictions because youcan’t take the square root of anumber.

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