(a)
To find:The domain of function.
(a)
Answer to Problem 38E
The domain of function is all the real numbers except
Explanation of Solution
Given information:
The function is
Calculation:
Consider the function.
.
Simplify 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 38E
They- intercept is
Explanation of Solution
Given information:
The function is
Calculation:
Put
Equate function to zero to find x intercept.
Therefore, the y- intercept is
(c)
To find:The asymptotes.
(c)
Answer to Problem 38E
The horizontal asymptote is
Explanation of Solution
Given information:
The function is
Calculation:
In given function degree of numerator is same as degree of denominator. The horizontal asymptote will be the ratio of leading coefficient of numerator and denominator which is
Equate denominator to zero to find vertical asymptote.
Therefore, the horizontal asymptote is
(d)
To find:The sketch of graph.
(d)
Answer to Problem 38E
The graph is shown in Figure-(1).
Explanation of Solution
Given information:
The function is
Calculation:
The below table shows the value of
1 | 3 | |||
1.4 | 2 | 0.5 | 0.8 |
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