Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.2 - Graphs of Rational Functions - 4.2 Exercises - Page 324: 71


(a) The graph of the rational function intercepts the x-axis when $x=-1$ and $x=1$. The x-intercepts are: $(-1,0)$ and $(1,0)$ (b) Algebraically $y=0$ when $x=±1$ The x-intercepts are: $(-1,0)$ and $(1,0)$

Work Step by Step

$y=\frac{1}{x}-x$ $0=\frac{1}{x}-x$ $x=\frac{1}{x}$ $x^2=1$ $x=±1$
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