(a)
To find:The domain of function.
(a)
Answer to Problem 49E
The domain of function is all the real numbers except
Explanation of Solution
Given information:
The function is
Calculation:
The function is
Calculation:
Consider the function.
.
The function is valid for all the real numbers except
Therefore, the domain of function is all the real numbers except
(b)
To find:The intercepts.
(b)
Answer to Problem 49E
The y- intercept is not available and the x- intercept is
Explanation of Solution
Given information:
The function is
Calculation:
For finding y- intercept we put
Equate function to zero to find x intercept.
Therefore, the y- intercept is not available and the x- intercept is
(c)
To find:The asymptotes.
(c)
Answer to Problem 49E
The horizontal asymptote is not present and vertical asymptote is
Explanation of Solution
Given information:
The function is
Calculation:
In given function degree of numerator is greater than degree of denominator. The horizontal asymptote is therefore not present.
For vertical asymptote we equate denominator to zero to find the solution but here
Therefore, horizontal asymptote is not present and vertical asymptote is
(d)
To find:The sketch of graph.
(d)
Answer to Problem 49E
The graph is shown in Figure-(1).
Explanation of Solution
Given information:
The function is
Calculation:
Draw the sketch for the function by using the equations of asymptotes.
Figure-(1)
Therefore, the graph is shown in Figure-(1).
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