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: 64

Answer

(a) $-\frac{3}{2},\frac{9}{2}$. (b) $[-\frac{3}{2},\frac{9}{2}]$. (c) $(-\infty,-\frac{3}{2})\cup(\frac{9}{2},\infty)$.

Work Step by Step

See graph for the two given functions. (a) We can identify the solution as $x=-\frac{3}{2},\frac{9}{2}$. (b) We can identify the solution as $[-\frac{3}{2},\frac{9}{2}]$. (c) We can identify the solution as $(-\infty,-\frac{3}{2})\cup(\frac{9}{2},\infty)$.
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