Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x² + 4x + 7, [-1, 1] O No, f is not continuous on [-1, 1]. O No, f is continuous on [-1, 1] but not differentiable on (-1, 1). O Yes, f is continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O There is not enough information to verify if this function satisfies the Mean Value Theorem. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. 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) = 4x² + 4x + 7, [-1, 1] O No, f is not continuous on [-1, 1]. O No, f is continuous on [-1, 1] but not differentiable on (-1, 1). O Yes, f is continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O There is not enough information to verify if this function satisfies the Mean Value Theorem. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. 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

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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