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 182: 13

Answer

(a) $-9, 3$. (b) $[-9,3]$. (c) $(-\infty,-9)\cup(3,\infty)$.

Work Step by Step

(a) Use the given graph, we can identify the intersects $(-9,6),(3,6)$, thus the solutions to $f(x)=g(x)$ are $x=-9, 3$. (b) $f(x)\le g(x)$ happens when $-9\le x\le 2$ or $[-9,3]$. (c) $f(x)\gt g(x)$ happens when $x\lt-9$ or $x\gt 3$, that is $(-\infty,-9)\cup(3,\infty)$.
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