Please help finding c! Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?f(x) = e-3x, [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.O Yes, fis continuous and differentiable on R, so it is continuous on [0, 3] and differentiable on (0, 3).O No, f is continuous on [0, 3] but not differentiable on (0, 3).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, enterDNE)

Answered: Image /qna-images/answer/4e7a8c33-50e4-4d84-a1c6-a7c140e4d412.jpg

ue Theorem on the given interval? ction satisfies the Mean Value Theorem. continuous on [0, 3] and differentiable on (0, 3) . an (0, 3). ziable; every function satisfies the Mean Value Theorem. sfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If in

ue Theorem on the given interval? ction satisfies the Mean Value Theorem. continuous on [0, 3] and differentiable on (0, 3) . an (0, 3). ziable; every function satisfies the Mean Value Theorem. sfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If in

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

Please help finding c!

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = e-3x, [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.
O Yes, fis continuous and differentiable on R, so it is continuous on [0, 3] and differentiable on (0, 3).
O No, f is continuous on [0, 3] but not differentiable on (0, 3).
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)

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