Question 4 Rolle's theorem states that if a function fis continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f(x) = 0 for some x with a sxsb. (A) True B) False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 70E
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Question 4
Rolle's theorem states that if a function fis continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such
that f(a) = f(b), then f(x) = 0 for some x with a sxsb.
(A) True
B) False
Transcribed Image Text:Question 4 Rolle's theorem states that if a function fis continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f(x) = 0 for some x with a sxsb. (A) True B) False
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