sider the function f(x) 3x on the interval |- 2, 2]. Find the average or mean slope of the ction on this interval. the Mean Value Theorem, we know there exists at least one c in the open interval ( – 2, 2) such that c) is equal to this mean slope. this problem, there are two values of c that work. smaller one is the larger one is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Consider the function f(x) = 2x° – 3x on the interval [ – 2, 2]. Find the average or mean slope of the
function on this interval.
By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 2, 2) 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
Transcribed Image Text:Consider the function f(x) = 2x° – 3x on the interval [ – 2, 2]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 2, 2) 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
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