Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 113: 6

Answer

False

Work Step by Step

If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$, then the line \fbox{$x=k$} is a vertical asymptote. $....................................$ Here, the vertical asymptote is $x=6$, because the denominator nears zero as x nears 6. The given line, $y=6$ is horizontal, so it can not be a vertical asymptote. The statement is false.
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