Consider the function f(x) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of the function on this interval, i.e. f(3) - f(-2) 3- (-2) By the Mean Value Theorem, we know there exists a c in the open interval (-2, 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) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of the function on this interval, i.e. f(3) - f(-2) 3- (-2) By the Mean Value Theorem, we know there exists a c in the open interval (-2, 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) = 4 - 2x² on the interval [2, 3]. Find the average or mean slope of the
function on this interval, i.e.
f(3) - f(-2)
3- (-2)
By the Mean Value Theorem, we know there exists a C in the open interval (-2, 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%2Fe3110b40-8c35-4261-a939-99bc49e98f8a%2Fe910d6b9-fa8e-4987-8313-330499eaf4bc%2Fc44sfu_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 4 - 2x² on the interval [2, 3]. Find the average or mean slope of the
function on this interval, i.e.
f(3) - f(-2)
3- (-2)
By the Mean Value Theorem, we know there exists a C in the open interval (-2, 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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