Concept explainers
To find: Domain, Horizontal Asymptote and Vertical Asymptote of the given function.
Answer to Problem 47RE
The domain of
The horizontal asymptote is the line
The line
Explanation of Solution
Given:
The equation
On considering the equation
Domain:
Since the denominator vanishes when
all real numbers except
Horizontal Asymptote:
As the degree of the numerator is equal to the degree of the denominator, the graph of f has the line
Vertical Asymptote:
Set the denominator as zero and solve the resulting equation.
So the graph has the line
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