Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x³ 3x + 5, [-2, 2] O 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. O No, f is not continuous on [-2, 2]. O No, f is continuous on [-2, 2] but not differentiable on (-2, 2). O There is not enough information to verify if this function satisfies the Mean Value Theorem.

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x³ 3x + 5, [-2, 2] O 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. O No, f is not continuous on [-2, 2]. O No, f is continuous on [-2, 2] but not differentiable on (-2, 2). O There is not enough information to verify if this function satisfies the Mean Value Theorem.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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