(a)
To state: the domain of the given function.
(a)
Answer to Problem 54E
The domain of the given function is
Explanation of Solution
Given information:
Consider
Calculation:
The domain is the set of x values for which the function is defined.
Find the undefined values of
The function is define for all real values of x except at
Hence, the domain is
(b)
To identify: all the intercepts of the given function.
(b)
Answer to Problem 54E
The x- intercept is
Explanation of Solution
Given information:
Consider
Calculation:
The x- intercept is the point at which the graph of the function crosses the x- axis.
The y- intercept is the point at which the graph of the function crosses the y- axis.
Hence, the x- intercept is
(c)
To find: the vertical or slant asymptotes of the given function.
(c)
Answer to Problem 54E
The slant asymptote is
Explanation of Solution
Given information:
Consider
Calculation:
Degree of numerator is greater than the degree of denominator. So there is no horizontal
Asymptote. Slant asymptote is there.
To find vertical asymptote equate denominator to zero.
Hence, the oblique asymptote is
(d)
To plot: the given function.
(d)
Explanation of Solution
Given information:
Consider
Graph:
The graph of the
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