Does the function satisfy the hypotheses of the Mean value there on f(x)=2x²-3x+1, [0, 2] O 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. O No, f is not continuous on [0, 2]. O No, f is 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

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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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x)=2x²-3x+1, [0, 2]
O 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.
O No, f is not continuous on [0, 2].
O No, f is 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)
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)=2x²-3x+1, [0, 2] O 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. O No, f is not continuous on [0, 2]. O No, f is 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)
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