Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 – 2x + 1, [0, 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 [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 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-separate DNE). C =
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 – 2x + 1, [0, 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 [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 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-separate DNE). C =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 3x2 – 2x + 1, [0, 2]
O Yes, it does not matter if fis continuous or differentiable, every function satisfies 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 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-separate
DNE).
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d8b0214-abb2-4ea6-81b1-1b7d6a78f371%2Fbbab427a-53fc-4006-922f-61023284b930%2Fjz32vbq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = 3x2 – 2x + 1, [0, 2]
O Yes, it does not matter if fis continuous or differentiable, every function satisfies 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 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-separate
DNE).
C =
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