   Chapter 2, Problem 13RQ ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.A function can have two different horizontal asymptotes.

To determine

Whether the statement, “A function can have two horizontal asymptotes” is true or false.

Explanation

A horizontal asymptote for a function is a horizontal line that the graph of the function approaches as x or x.

If y=k is a horizontal asymptote for the function y=f(x), then the values of f(x) get closer and closer to k to the right or to the left.

Example:

From Figure1, it is observed that the graph has two horizontal asymptotes, y=2 as x approaches to negative infinity and y=2 as x approaches to infinity

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