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: 20

Answer

Vertical asymptote: If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$, then the line $x=k$ is a vertical asymptote. Horizontal asymptote: If the values of $y$ approach a number $k$ as $|x|$ gets larger and larger, the line $y=k$ is a horizontal asymptote.

Work Step by Step

Vertical asymptote: search for number(s) k such that: If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$, then the line $x=k$ is a vertical asymptote. Horizontal asymptote: search for number(s) k such that: If the values of $y$ approach a number $k$ as $|x|$ gets larger and larger, the line $y=k$ is a horizontal asymptote.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.