Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.3 Functions - 2.3 Exercises - Page 218: 89


(a) increasing at: $(-\infty, -2) \cup (2, +\infty)$ (b) decreasing at: $(-2, 2)$ (c) none

Work Step by Step

(a) The graph is rising from the left up to $x=-2$ as well as from $x=2$ to the right. Thus, the function is increasing in the interval $(-\infty, -2) \cup (2, +\infty)$. (b) The graph is falling from $x=-2$ to $x=2$. Thus, the function is decreasing in the interval $(-2, 2)$. (c) The graph has no interval where its value is constant.
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