Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 - 3x + 6, [-2, 2) O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R. O No, fis not continuous on [-2, 2]. O No, f is continuous on [-2, 2] but not differentiable on (-2, 2). 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 =
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 - 3x + 6, [-2, 2) O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R. O No, fis not continuous on [-2, 2]. O No, f is continuous on [-2, 2] but not differentiable on (-2, 2). 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 =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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![Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = x3 .
- 3x + 6, [-2, 2]
O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
O Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R.
O No, f is not continuous on [-2, 2].
O No, f is continuous on [-2, 2] but not differentiable on (-2, 2).
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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef32d892-2be5-47f3-b849-c5abf9aa2ede%2F88980b78-b313-4b52-b5dd-8c426f9a4190%2Fsc7awet_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) = x3 .
- 3x + 6, [-2, 2]
O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
O Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R.
O No, f is not continuous on [-2, 2].
O No, f is continuous on [-2, 2] but not differentiable on (-2, 2).
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 =
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