Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 + 5x + 2, [-1, 1] O There is not enough information to verify if this function satisfies the Mean Value Theorem. O Yes, fis continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, fis continuous on [-1, 1] but not differentiable on (-1, 1). O No, fis not continuous on [-1, 1]. 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.)
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 + 5x + 2, [-1, 1] O There is not enough information to verify if this function satisfies the Mean Value Theorem. O Yes, fis continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, fis continuous on [-1, 1] but not differentiable on (-1, 1). O No, fis not continuous on [-1, 1]. 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.)
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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