Verify that the three conditions of the Rolle Theorem hypothesis hold for the function f (x) = 2x^2 -4x + 5 on the interval [0,2] then find a suitable value for C that satisfies the conclusion of the Rolle's theorem.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Verify that the three conditions of the Rolle Theorem hypothesis hold for the function f (x) = 2x^2 -4x + 5 on the interval [0,2] then find a suitable value for C that satisfies the conclusion of the Rolle's theorem.
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