Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 402: 123

Answer

The graph is shown below:
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Work Step by Step

Consider the provided functions $y=\frac{1}{{{x}^{2}}},y=\frac{1}{{{x}^{4}}},$ and $y=\frac{1}{{{x}^{6}}}$. For plotting the graph of the functions using the TI-83 calculator, follow the steps as shown below: - Write the equations $y=\frac{1}{{{x}^{2}}},y=\frac{1}{{{x}^{4}}},$ and $y=\frac{1}{{{x}^{6}}}$. - Set $\left( -3,3,0.5 \right)$ and $\left( 0,2,0.25 \right)$. - Plot the graph of the mentioned functions. In the graph, it is clear that the plot approaches the vertical asymptote slower and the horizontal asymptote faster when $n$ is increased.
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