onsider the function f(x) = 2x² - 6x on the interval [ - 3,3]. he average rate of change of f(x) on this interval is: f(3) = f(-3) 3-(-3) = he Mean Value Theorem says that there is at least one number c in the open interval (-3, 3) so that (c) equals this average rate of change. Find the value(s) of c that work for f(x) on (-3, 3):
onsider the function f(x) = 2x² - 6x on the interval [ - 3,3]. he average rate of change of f(x) on this interval is: f(3) = f(-3) 3-(-3) = he Mean Value Theorem says that there is at least one number c in the open interval (-3, 3) so that (c) equals this average rate of change. Find the value(s) of c that work for f(x) on (-3, 3):
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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![Question 4
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=
>
Consider the function f(x) = 2x
The average rate of change of f(x) on this interval is:
ƒ(3) - ƒ(-3)
3 − (− 3)
6x on the interval [- 3,3].
The Mean Value Theorem says that there is at least one number c in the open interval (3, 3) so that
f'(c) equals this average rate of change. Find the value(s) of C that work for f(x) on (-3, 3):](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdccd92ca-1b61-456d-9dcc-37e880ec20af%2Fd0420fc5-5ec1-48b4-8007-6d8c2768fca4%2Fchv3ql_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4
<
=
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Consider the function f(x) = 2x
The average rate of change of f(x) on this interval is:
ƒ(3) - ƒ(-3)
3 − (− 3)
6x on the interval [- 3,3].
The Mean Value Theorem says that there is at least one number c in the open interval (3, 3) so that
f'(c) equals this average rate of change. Find the value(s) of C that work for f(x) on (-3, 3):
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