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 2.5 Inequalities Involving Quadratic Functions - 2.5 Assess Your Understanding - Page 163: 3


a) $x$ is in the interval: $(-\infty,-2) \cup (2, \infty)$. b) $x$ is in the interval $[-2,2]$.

Work Step by Step

a) We look for the interval where the graph is above the x-axis. We see that this happens before $-2$ and after $2$. Thus, we get: $(-\infty,-2) \cup (2, \infty)$. b) We look for the x-values such that the graph is below or on the x-axis. This is the opposite of (a): the interval $[-2,2]$.
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