Concept explainers
To Find:The intervals of the increase and decrease and intervals concavity of the function.
Answer to Problem 9E
Increasing on
Decreasing on
Concave up
Concave down on
Explanation of Solution
Given:Produce graph of
Given:
The graph of the function is
From the graph it is concluded that
The asymptotes is
The spread out image of the graph is shown below
So,
The
Thus,
The function is
Increasing on
Decreasing on
Concave up
Concave down on
Finding the exact values by differentiating
Finding the factors of numerator using the discriminant rule
We get
It is indicated that the local maxima is
Another inflection point is
Since the graph approaches
Thus
Modified intervals
Increasing on
Decreasing on
Concave up
Concave down on
Now checking for
Factors of the numerator are
Hence the exact intervals are
Increasing on
Decreasing on
Concave up
Concave down on
Chapter 4 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