To write: a rational function f whose graph has no vertical asymptotes and has horizontal asymptote at
Answer to Problem 80E
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 no vertical asymptote, it means that the denominator of this function have no real roots.
So, let
Also, the function has horizontal asymptote at
Now the leading coefficient of
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