To find: Whether the statement “A function can have two different horizontal asymptotes” is true or false.
Answer to Problem 9RQ
The statement “A function can have two different horizontal asymptotes” is true.
Explanation of Solution
Given information:
The given statement is “A function can have two different horizontal asymptotes”.
Calculation:
The horizontal asymptote is a horizontal tangent line to the curve at infinity. The line
Consider the function
Calculate the value of
Hence,
Calculate the another value of
Hence,
These results are observed from the below graph.
Therefore, the statement “A function can have two different horizontal asymptotes” is true.
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning