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Unformatted text preview: the absolute minimum. The relative and absolute maximum values also coincide at 6. Every point on the graph of y = g (x) for x < −2 134 Linear and Quadratic Functions and x > 3 yields both a relative minimum and relative maximum. The point (−2, −4), however, gives only a relative minimum and the point (3, 6) yields only a relative maximum. (Recall the exercises in Section 1.7.2 which dealt with constant functions.) Many of the applications that the authors are aware of involving absolute values also involve absolute value inequalities. For that reason, we save our discussion of applications for Section 2.4. 2.2 Absolute Value Functions 2.2.1 135 Exercises 1. Graph each of the following functions using transformations or the definition of absolute value, as appropriate. Find the zeros of each function and the x- and y -intercepts of each graph, if any exist. From the graph, determine the domain and range of each function, list the intervals on which the function is increasing, decreasing, or constant, and find the relative and absolute extrema, if they e...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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