Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. -3sxs-1 - X f(x) 2x2 - 3x 3 -1
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. -3sxs-1 - X f(x) 2x2 - 3x 3 -1
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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![Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer.
-3sxs-1
- X
f(x)
2x2
- 3x 3
-1 <xs1
Choose the correct answer.
A. No, f(x) is differentiable at every point in (-3,1) but is not continuous at every point in [-3,1].
B. No, f(x) is continuous at every point in [- 3,1] but is not differentiable at every point in (-3,1)
C. Yes, f(x) is continuous at every point in (-3,1) and differentiable at every point in [-3,1]
D. Yes, f(x) is continuous at every point in [-3,1] and differentiable at every point in (-3,1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1083a8a9-0552-4d17-9464-fd309f4079b6%2F555251e4-4197-43f3-8f6c-4fbe20a0455a%2F66buxb.png&w=3840&q=75)
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer.
-3sxs-1
- X
f(x)
2x2
- 3x 3
-1 <xs1
Choose the correct answer.
A. No, f(x) is differentiable at every point in (-3,1) but is not continuous at every point in [-3,1].
B. No, f(x) is continuous at every point in [- 3,1] but is not differentiable at every point in (-3,1)
C. Yes, f(x) is continuous at every point in (-3,1) and differentiable at every point in [-3,1]
D. Yes, f(x) is continuous at every point in [-3,1] and differentiable at every point in (-3,1).
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