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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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