Concept explainers
(a)
To find: The average rate of change of
(a)
Answer to Problem 62RE
The average rate of change of
Explanation of Solution
Given information:
The function is
Calculation:
The formula for average rate of change
Substitute
Substitute
Substitute
So, the average rate of change of
Substitute
Substitute
Substitute
So, the average rate of change of
Therefore, the average rate of change of
(b)
To check: Whether the two average rate of change in part(a) is same or not explain.
(b)
Answer to Problem 62RE
The two average rate of change in part (a) are same as the function is linear polynomial function, it varies linearly so the average rate of change is same.
Explanation of Solution
Given information:
The function is
As calculated in part(a), the value of average rate of change for both is equal to
The given function
Therefore, the two average rate of change in part (a) are same.
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th 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