Absolute Value Functions - ClassZone

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Page 1 of 2122Chapter 2Linear equations and FunctionsAbsolute Value FunctionsREPRESENTINGABSOLUTEVALUEFUNCTI ONSIn Lesson you learned that the Absolute Value of xis defined by:|x| = The graph of this piecewise function consists of two rays, is V-shaped, and opens corner point of the graph, called the occurs at the that the graph of y= |x| is symmetric in the y-axis because for every point(x, y) on the graph, the point ( x, y) is also on the in the activity you investigated the effects of a, h, and kon the graph of y= a|x h| + kseparately, these effects can be combined. For example, the graph ofy=2|x 4|+3is shown in red along with the graph ofy= |x|in blue. Notice that thevertex of the red graph is (4, 3) and that thered graph is narrower than the blue the left of x 0,the graph is given bythe line y the right of x 0,the graph is given bythe line y ( 2, 2)2(2, 2)1xvertex,x, if x> 00,if x = 0 x, if x< 0GOAL1Representabsolute Value Absolute valuefunctions to model real-lifesituations, such as playingpool in Example 4.

Page 1 of 2 122 Chapter 2 Linear Equations and Functions Absolute Value Functions REPRESENTING ABSOLUTE VALUE FUNCTIONS In Lesson 1.7 you learned that the absolute value of x is defined by: |x| = The graph of this piecewisefunction consists of …

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