29. Decide whether Rolle's Theorem can be applied to f(x) = x2 + 2x -1 on the interval [-3, 1]. If Rolle's Theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0. Rolle's Theorem can be applied; c = -3, 1 O Rolle's Theorem can be applied; c = -1 Rolle's Theorem cannot be applied because f '(c) # 0 Rolle's Theorem cannot be applied because f(0) = f(3) O O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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29. Decide whether Rolle's Theorem can be applied to f(x) = x2 + 2x - 1 on the interval [-3, 1]. If Rolle's Theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0.
%3D
Rolle's Theorem can be applied; c = -3, 1
Rolle's Theorem can be applied; c = -1
Rolle's Theorem cannot be applied because f '(c) # 0
Rolle's Theorem cannot be applied because f(0) # f(3)
Transcribed Image Text:29. Decide whether Rolle's Theorem can be applied to f(x) = x2 + 2x - 1 on the interval [-3, 1]. If Rolle's Theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0. %3D Rolle's Theorem can be applied; c = -3, 1 Rolle's Theorem can be applied; c = -1 Rolle's Theorem cannot be applied because f '(c) # 0 Rolle's Theorem cannot be applied because f(0) # f(3)
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