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: 14

Answer

(a) $0,4$. (b) $[0,4]$. (c) $(-\infty,0)\cup(4,\infty)$.

Work Step by Step

(a) Use the given graph, we can identify the intersects $(0,2),(4,2)$, thus the solutions to $f(x)=g(x)$ are $x=0,4$. (b) $f(x)\le g(x)$ happens when $0\le x\le 4$ or $[0,4]$. (c) $f(x)\gt g(x)$ happens when $x\lt0$ or $x\gt 4$, that is $(-\infty,0)\cup(4,\infty)$.
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