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: 69


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

Work Step by Step

$f(0)=0, f(1)=2, f(-1)=-2,\lim_{x\to-\infty}f(x)=-1, \lim_{x\to\infty}f(x)=1$ The graph of the function $y=f(x)$ is sketched below. - The graph passes points $(0,0), (1,2), (-1,-2)$. - As $x$ approaches $\infty$, $f(x)$ approaches $1$. - As $x$ approaches $-\infty$, $f(x)$ approaches $-1$.
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