Concept explainers
a.
To describe and compare: the end behavior of the given function by graphing both function in the viewing rectangles.
a.
Answer to Problem 50E
Same end behavior.
Explanation of Solution
Given:
The given function
and the rectangle is
Calculation:
The given function is
Now draw the graph of the function:
From the graph, it is appearing to have the same end behavior.
For
For
This is the typical behavior of odd-degree polynomial with positive leading constant.
b.
To show: that
b.
Answer to Problem 50E
The ratio approaches 1, so the function has same end behavior.
Explanation of Solution
Given:
The given function
and the rectangle is
Calculation:
The given function
Now dividing each term by
Therefore,
The ratio approaches 1, so the function has same end behavior.
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