a.
To write: A rational function that has the specified characteristics.
a.
Answer to Problem 98E
The rational function
Explanation of Solution
Given information: The vertical asymptote:
Calculation: The vertical asymptote:
The vertical asymptote is
The denominator can’t have
Thus, the rational function
b.
To write: A rational function that has the specified characteristics.
b.
Answer to Problem 98E
The rational function
Explanation of Solution
Given information: The vertical asymptote:
Calculation: The vertical asymptote:
The vertical asymptote is negative means for some value of
So
Slant asymptotes is negative if we have rational function using synthetic division,what is not remainder, then whole part is expressed as a function.
So
zero of the function is negative means a point in domain where function becomes zero.
So
A rational function with the vertical asymptote:
Put
Put
Thus, the rational function
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
- 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