Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 183: 81

Answer

(a) $(0,0),(4,0)$ (b) domain $[-2,5]$, range $[-2,4]$ (c) increasing on $(3,5)$, decreasing on $(-2,1)$, and constant on $(1,3)$. (d) neither even nor odd.

Work Step by Step

Based on the given graph, we can find: (a) The intercepts as $(0,0),(4,0)$ (b) The domain as $[-2,5]$ and range as $[-2,4]$ (c) The function is increasing on $(3,5)$, decreasing on $(-2,1)$, and constant on $(1,3)$. (d) The function is neither even nor odd.
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