Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 - 2x + 3, [0, 2] Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem. O Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R. No, f is not continuous on [0, 2]. No, f is continuous on [0, 2] but not differentiable on (0, 2). 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 =
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 - 2x + 3, [0, 2] Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem. O Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R. No, f is not continuous on [0, 2]. No, f is continuous on [0, 2] but not differentiable on (0, 2). 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 =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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Hi there, please help me with explaining this answer.
![Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 5x2 – 2x + 3,
[0, 2]
Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem.
Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R.
No, f is not continuous on [0, 2].
No, f is continuous on [0, 2] but not differentiable on (0, 2).
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%2Fec3b3383-37f4-47ac-89b5-324d60abcf55%2Fcc350d61-bb7a-4f5a-be95-7031c0bf87d6%2F9n8chxs_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 – 2x + 3,
[0, 2]
Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem.
Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R.
No, f is not continuous on [0, 2].
No, f is continuous on [0, 2] but not differentiable on (0, 2).
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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