Consider the function f(x) = 2x³ 12x² 30x + 7 on the interval [-4, 7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (-4, 7) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. Round answers to 3 decimal places. The smaller one is and 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 94E
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Consider the function f(x) = 2x³ – 12x² – 30x + 7 on the interval [ – 4, 7]. Find the average
or mean slope of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (-4, 7) such that f'(c)
is equal to this mean slope. For this problem, there are two values of c that work. Round answers to
3 decimal places.
The smaller one is
and the larger one is
Transcribed Image Text:Consider the function f(x) = 2x³ – 12x² – 30x + 7 on the interval [ – 4, 7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (-4, 7) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. Round answers to 3 decimal places. The smaller one is and the larger one is
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