Algebra and Trigonometry 10th Edition

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

Chapter 4 - 4.1 - Rational Functions and Asymptotes - 4.1 Exercises - Page 315: 17

Answer

Vertical asymptotes: $x=±1$ There is no horizontal asymptote.

Work Step by Step

For the vertical asymptote, the denominator must be equal to $0$: $x^2-1=0$ $x^2=1$ $x=±1$ The degree of the numerator is greater than the degree of the denominator. So, there is no horizontal asymptote.
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