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 - 3.1 Properties of Linear Functions and Linear Models - 3.1 Assess Your Understanding - Page 127: 35


a) $x=-6$; b) $[-6,5)$

Work Step by Step

a) $f(x)=g(x)$ The intersection points of the graphs of $f$ and $g$ is $(-6,-5)$. The solution of the given equation is the $x$-coordinate of the intersection point: $x=-6$ b) $g(x)\leq f(x)\lt g(x)$ The solution of the inequality consists of the values of $x$ for which the graph of $f$ is above or equal to the graph of $g$ and below the graph of $h$: $x\in[-6,5)$
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