Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of the function on this interval, i.e. f(6)-f(-5) 6-(-5) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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-6 Consider the function f(x) = 4 - 4x2 on the interval [-5, 6].
(A) Find the average or mean slope of the function on this interval, i.e.
ƒ(6) – f(-5)
6 - (-5)
(B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that
works. Find it.
C =
Transcribed Image Text:-6 Consider the function f(x) = 4 - 4x2 on the interval [-5, 6]. (A) Find the average or mean slope of the function on this interval, i.e. ƒ(6) – f(-5) 6 - (-5) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. C =
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