Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) %3D х3 - Зх + 8, [-2, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. o Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R. No, f is not continuous on [-2, 2]. No, f is continuous on [-2, 2] but not differentiable on (-2, 2). There is not enough information to verify if this 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) %3D х3 - Зх + 8, [-2, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. o Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R. No, f is not continuous on [-2, 2]. No, f is continuous on [-2, 2] but not differentiable on (-2, 2). There is not enough information to verify if this 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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