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: 20


Domain: All real numbers. Vertical asymptotes: None. Horizontal asymptotes: $y=3$

Work Step by Step

Domain: $x^2 +1 \ne 0$ $x^2\ne-1$ $x\ne \pm i$ All real numbers. Identify vertical asymptotes. These occur at the zeros of the denominator of the function: No vertical asymptotes. Identify any horizontal asymptotes by describing the behavior as x goes to infinity: $f(x)\rightarrow 3$ as $ x \rightarrow \infty$ $y=3$
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