Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises - Page 352: 24

Answer

See graph and explanation.

Work Step by Step

(a) It can be clearly seen in the graph of the function that as x approaches $-\infty$, f(x) approaches the x-axis (y=0) and as x approaches $\infty$, f(x) approaches the line y=8. So the asymptotes are: y=0 and y=8 (b) The graph of f(x) approaches y=4 on both sides of the y-axis as can be clearly seen in the image. So the only asymptote is y=4.
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