Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 19: 4

Answer

a) $f(-4)=-2$, $g(3)=4$ b) $x=-2$, $x=2$ c) $x=-3$, $x=4$ d) $0\lt x\leq4$ e) Domain of $f$: $-4\leq x\leq 4$, range: $-2\leq y\leq 3$ f) Domain of $g$: $-4\leq x\leq 3$, range: $0.5\leq y\leq 4$.

Work Step by Step

"State" questions require an exact answer whereas "estimate" questions require an approximation. We have: a) $f(-4)=-2$, $g(3)=4$ b) $f(x)=g(x)$ for $x=-2$, $x=2$ c) $f(x)=-1$ for $x=-3$, $x=4$ d) $f$ is decreasing for $0\lt x\leq4$ e) The domain of $f$ is $-4\leq x\leq 4$, while the range is $-2\leq y\leq 3$ f) The domain of $g$ is $-4\leq x\leq 3$, while the range is $0.5\leq y\leq 4$.
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