Calculus: Early Transcendentals 8th Edition

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

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 44: 30

Answer

We can see a sketch of the graph $\frac{1}{f(x)}$ below. In the graph of $f(x)$, the following points are useful: the x-intercepts the points where $y=1$ or $y=-1$ the points where $y$ is close to 0 the points where $y$ is very large

Work Step by Step

We can see a sketch of the graph $\frac{1}{f(x)}$ below. In the graph of $f(x)$, the x-intercepts are important because these are asymptotes in the graph of $\frac{1}{f(x)}$. In the graph of $f(x)$, the points where $y=1$ or $y=-1$ are important, because these values are also equal to 1 or -1 in the graph of $\frac{1}{f(x)}$. In the graph of $f(x)$, the points where $y$ is close to 0 are useful, because these values are very large in the graph of $\frac{1}{f(x)}$. In the graph of $f(x)$, the points where $y$ is very large are useful, because these values are close to 0 in the graph of $\frac{1}{f(x)}$.
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