To find: Intercepts and asymptotes of the given function as well as plot graph.
Answer to Problem 15CT
The value of x-intercept is
The asymptote is at
Explanation of Solution
Given:
The function:
The intercept is when
First factorize all the factors and see if the factors could be cut or not,
So the value of x-intercept is
To find the y intercept let put the value of x equals to 0. So
The vertical asymptote is when the denominator becomes zero. That is at
There will be also a horizontal asymptote. Dividing numerator and denominator by x as follows,
It will tend to 2 at higher values of x.
So the asymptote is at
The graph of the function is as follows,
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