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: 90

Answer

(a) $(-3, 3)$ (b) $(-\infty, -3) \cup (3, +\infty)$. (c) The graph has no interval where its value is constant.

Work Step by Step

(a) The graph is rising from the left up to $x=-3$ as well as from $x=3$ to the right. Thus, the function is increasing in the interval $(-3, 3)$. (b) The graph is falling from the left up to $x=-3$ as well as from $x=3$ to the right. Thus, the function is decreasing in the interval $(-\infty, -3) \cup (3, +\infty)$. (c) The graph has no interval where its value is constant.
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