To calculate: The vertical and horizontal asymptotes of the graphof the provided function.
Answer to Problem 14E
The vertical and horizontal asymptotes of the graph of the provided function is
Explanation of Solution
Given information:
Consider the provided function,
An asymptotes of a curve in a straight line which touches the given curve at infinitely.
Calculation:
First find the vertical asymptotes,
Consider the function,
To find vertical asymptote set denominator to 0.
Substitute the denominator is equal to 0,
Simplifying further,
Hence, the vertical asymptotes is
Consider the function
Here the provided function is a rational function.
If
And the degree
There will no horizontal asymptotes because there is a bigger exponent in the numerator which is 2.
Hence, the horizontal asymptote is does not exists.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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