(a)
To find: The graph of
(a)
Answer to Problem 2E
The graph of
Explanation of Solution
Graph:
From Figure 1, it is clear that the graph of
(b)
To find: The possibility number of horizontal asymptotes in the graph.
(b)
Answer to Problem 2E
There are one or two horizontal asymptotes in the graph or no horizontal asymptote also possible.
Explanation of Solution
Graph:
Generally, no horizontal asymptote for polynomial degree one or higher degree.
Graph:
Generally, one horizontal for exponential functions.
Graph:
Generally, two horizontal asymptotes for inverse tangent functions.
Therefore, horizontal asymptotes exists for
For the function
Thus, from graphs it is observed that there is one or two horizontal asymptote in the graph or no horizontal asymptote also possible.
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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