Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e-3x, [0, 3) O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, f is continuous on [0, 3] but not differentiable on (0, 3). O Yes, f is continuous and differentiable on R, so it is continuous on [0, 3] and differentiable on (0, 3). O No, f is not continuous on [0, 3]. O 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 = Need Help? Read It

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e-3x, [0, 3) O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, f is continuous on [0, 3] but not differentiable on (0, 3). O Yes, f is continuous and differentiable on R, so it is continuous on [0, 3] and differentiable on (0, 3). O No, f is not continuous on [0, 3]. O 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 = Need Help? Read It

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 52E

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