Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval, or explain why no such c exist. Hint: g does not need to be written as a piecewise function. Try rewriting g as a simpler function first!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 3RE
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Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval, or explain why no such c exist.

Hint: g does not need to be written as a piecewise function. Try rewriting g as a simpler function first!

g(x) =
-x³ +3x²+2x - 4 x 2
3
+3x²+2x-
=
4
x = 2
on [-3, 3]
Transcribed Image Text:g(x) = -x³ +3x²+2x - 4 x 2 3 +3x²+2x- = 4 x = 2 on [-3, 3]
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