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 1 - Functions and Their Graphs - Section 1.3 Properties of Functions - 1.3 Assess Your Understanding - Page 74: 21

Answer

(a) $(\pm2,0),(0,3)$. (b) domain $[-4,4]$ and range $[0,3]$ (c) increasing $(-2,0),(2,4)$, decreasing $(-4,-2),(0,2)$. (d) even.

Work Step by Step

(a) Based on the graph, we can find the intercept(s) $(\pm2,0),(0,3)$. (b) We can find the domain $[-4,4]$ and range $[0,3]$ (c) The intervals on which the function is increasing $(-2,0),(2,4)$, decreasing $(-4,-2),(0,2)$. (d) We can identify that the function is even.
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