Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.5 Inequalities Involving Quadratic Functions - 3.5 Assess Your Understanding - Page 160: 3

Answer

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

Work Step by Step

Because the x-axis is basically $f(x)=0$, hence the values above the x axis are such that $f(x)\gt0$, and the value below or on the x-axis are such that $f(x)\leq0.$ a) All the x-values such that the graph is above the x-axis: $x$ is in the interval: $(-\infty,-2) \cup (2, \infty)$. b) All the x-values such that the graph is below or on the x-axis: $x$ is in the interval $[-2,2]$.
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