Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.1 Properties of Functions - 2.1 Exercises - Page 54: 37


Domain = $[-2,4].$ Range = $[0,4]$ a. 0 b. 4 c. 3 d. $x=-1.5, x=1.5$, and $x=2.5$

Work Step by Step

Endpoints of the curve are included, Domain = $[-2,4].$ The function values range between 0 and 4. Range = $[0,4]$ a. $(-2,0)$ is on the graph, so $f(-2)=0$ b. $(0,4)$ is on the graph, so $f(0)=4$ c. $(1/2,3)$ is on the graph, so $f(1/2)=3$ d. Drawing a horizontal line $y=1$, the intercections with the graph are at $x=-1.5, x=1.5$, and $x=2.5$
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