University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.6 - Limits Involving Infinity; Asymptotes of Graphs - Exercises - Page 108: 70

Answer

The graph of the function $y=f(x)$ is sketched below.
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Work Step by Step

The graph of the function $y=f(x)$ is sketched below. - The graph passes point $(0,0)$. - As $x$ approaches $0^+$, $f(x)$ approaches $2$, but since $f(0)=0$, there must be a break there. - As $x$ approaches $0^-$, $f(x)$ approaches $-2$, but since $f(0)=0$, there must also be a break there. - As $x$ approaches $\pm\infty$, $f(x)$ approaches $0$.
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