Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists ac in the open interval (- 4, 9) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is Question Help: D Video Submit Question Jump to Answer

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Question
Consider the function f(x) = 2x – 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean
slope of the function on this interval.
By the Mean Value Theorem, we know there exists ac in the open interval (-4, 9) such that f'(c) is
equal to this mean slope. For this problem, there are two values of c that work.
The smaller one is
and the larger one is
Question Help: D Video
Submit Question
Jump to Answer
21
tv
P
MacBook Pro
G Search or type URL
$
&
2
4
7
* CO
Transcribed Image Text:Consider the function f(x) = 2x – 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists ac in the open interval (-4, 9) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is Question Help: D Video Submit Question Jump to Answer 21 tv P MacBook Pro G Search or type URL $ & 2 4 7 * CO
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning