Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 - 4x + 1, [0, 2] O Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem. O Yes, fis continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R. O No, fis not continuous on [0, 2]. O No, fis continuous on [0, 2] but not differentiable on (0, 2). O There is not enough information to verify if this function satifies 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 satisify the hypotheses, enter DNE).
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 - 4x + 1, [0, 2] O Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem. O Yes, fis continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R. O No, fis not continuous on [0, 2]. O No, fis continuous on [0, 2] but not differentiable on (0, 2). O There is not enough information to verify if this function satifies 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 satisify the hypotheses, enter DNE).
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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![Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 5x2 - 4x + 1,
[0, 2]
O Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem.
O Yes, fis continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R.
O No, fis not continuous on [0, 2].
O No, fis continuous on [0, 2] but not differentiable on (0, 2).
O There is not enough information to verify if this function satifies 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 satisify the hypotheses, enter DNE).
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02e48eaa-1d0b-443e-900e-d2a3a5cca4f3%2F46cc63ff-6bca-4cc9-b5e4-9eba6cf88736%2Fb0v4qki_processed.png&w=3840&q=75)
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 5x2 - 4x + 1,
[0, 2]
O Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem.
O Yes, fis continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R.
O No, fis not continuous on [0, 2].
O No, fis continuous on [0, 2] but not differentiable on (0, 2).
O There is not enough information to verify if this function satifies 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 satisify the hypotheses, enter DNE).
C =
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