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: 36


$f(x)=\frac{3x}{(x+2)^2}$ matches with the graph labeled (h).

Work Step by Step

The vertical asymptote is: $(x+2)^2=0$ $x+2=0$ $x=-2$ $f(0)=\frac{3(0)}{(0+2)^2}=0$. The graph passes through the origin. 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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