To find:The graph, domain of function, asymptotes and the line which indicates the graph if graph is zoom out sufficiently.
Answer to Problem 63E
The graph is shown in Figure-(1), domain is all the real numbers except
Explanation of Solution
Given information:
The function is
Calculation:
Consider the function.
The graph is given below.
Figure-(1)
The function
Therefore, the domain of function is all the real numbers except
In given function degree of numerator is greater than thedegree of denominator. So, horizontal asymptote is absent.
Solve for the zeroes of denominator for vertical asymptote.
So, the vertical asymptote is
Simplify the function for slant asymptote.
Here the slant asymptote will be
Therefore, the slant asymptote is
When the graph is zoom out sufficiently it will appear as line
Therefore, The graph is shown in Figure-(1), domain is all the real numbers except
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