Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of the function on this interval, i.e. f(3) = f(-4) 3-(-4) By the Mean Value Theorem, we know there exists a c in the open interval (-4, 3) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of the function on this interval, i.e. f(3) = f(-4) 3-(-4) By the Mean Value Theorem, we know there exists a c in the open interval (-4, 3) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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![Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of the
function on this interval, i.e.
f(3) = f(-4)
3-(-4)
By the Mean Value Theorem, we know there exists a c in the open interval (-4, 3) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3f56dff-0b60-49cc-8c03-28401888e8a6%2Fd62f2f98-dc71-4b4f-8a1f-72190f726380%2Fehhbtzi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of the
function on this interval, i.e.
f(3) = f(-4)
3-(-4)
By the Mean Value Theorem, we know there exists a c in the open interval (-4, 3) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.
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