To write: a rational function f whose graph has vertical asymptotes at
Answer to Problem 81E
Explanation of Solution
Concept Used:
Vertical Asymptote:
“The line
Horizontal Asymptote:
“For the given rational function
1. The line
2. The line
3. There is no horizontal asymptote if
Since, the required function has vertical asymptote at
So, let
Also, the function has no horizontal asymptote, this implies the degree of the numerator of the function must be greater than the degree of its denominator.
Now, as denominator is
So, let
Then, the required rational function is
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