Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 + 4x + 4, [−1, 1] a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. b) No, f is not continuous on [−1, 1]. c) No, f is continuous on [−1, 1] but not differentiable on (−1, 1).There is not enough information to verify if this function satisfies the Mean Value Theorem. d). Yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE.) c =

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 + 4x + 4, [−1, 1] a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. b) No, f is not continuous on [−1, 1]. c) No, f is continuous on [−1, 1] but not differentiable on (−1, 1).There is not enough information to verify if this function satisfies the Mean Value Theorem. d). Yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE.) c =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 78E

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