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: 34

Answer

$f(x)=\frac{-2x}{x^2-4}$ matches the graph labeled (b).

Work Step by Step

The vertical asymptotes are: $x^2-4=0$ $x^2=4$ $x=\pm2$ The degree of the denominator is greater than the degree of the numerator. The horizontal asymptote is the line $y=0$, that is, the x-axis.
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