Decide if Rolle's Theorem can be applied to f(x)=x² - 4x² + 4x² +1 on the interval [-1, 3]. If Rolle's Theorem can be applied, find all values c in the interval such that f(c)=0, If Rolle's Theorem cannot be applied, state why.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 6ECP
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Decide if Rolle's Theorem can be applied to f(x) = x¹ − 4x³ + 4x² +1 on the interval [-1, 3]. If
f'(c)=0, If Rolle's
Rolle's Theorem can be applied, find all values c in the interval such that
Theorem cannot be applied, state why.
Transcribed Image Text:Decide if Rolle's Theorem can be applied to f(x) = x¹ − 4x³ + 4x² +1 on the interval [-1, 3]. If f'(c)=0, If Rolle's Rolle's Theorem can be applied, find all values c in the interval such that Theorem cannot be applied, state why.
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