a. Determine whether the Mean Value Theorem applies to the function f(x) = 3-x on the interval [-2,1]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. Yes, because the function is continuous on the interval [- 2,1] and differentiable on the interval (- 2,1). O B. No, because the function is continuous on the interval [- 2,1], but is not differentiable on the interval (- 2,1). OC. No, because the function is not continuous on the interval [- 2,1], and is not differentiable on the interval (- 2,1). O D. No, because the function is differentiable on the interval (- 2,1), but is not continuous on the interval [- 2,1]. b. Select the correct choice below and, if necessary, fill the answer box to complete your choice. O A. The point(s) is/are x = | (Simplify your answer. Use a comma to separate answers as needed.) O B. The Mean Value Theorem does not apply in this case.
a. Determine whether the Mean Value Theorem applies to the function f(x) = 3-x on the interval [-2,1]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. Yes, because the function is continuous on the interval [- 2,1] and differentiable on the interval (- 2,1). O B. No, because the function is continuous on the interval [- 2,1], but is not differentiable on the interval (- 2,1). OC. No, because the function is not continuous on the interval [- 2,1], and is not differentiable on the interval (- 2,1). O D. No, because the function is differentiable on the interval (- 2,1), but is not continuous on the interval [- 2,1]. b. Select the correct choice below and, if necessary, fill the answer box to complete your choice. O A. The point(s) is/are x = | (Simplify your answer. Use a comma to separate answers as needed.) O B. The Mean Value Theorem does not apply in this case.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 5E: Let f and g be functions. (a) The function (f+g)(x) is defined for all values of x that are in the...
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![a. Determine whether the Mean Value Theorem applies to the function f(x) = 3-x on the interval [-2,1].
b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem.
a. Choose the correct answer below.
O A. Yes, because the function is continuous on the interval [- 2,1] and differentiable on the interval (- 2,1).
O B. No, because the function is continuous on the interval [- 2,1], but is not differentiable on the interval (- 2,1).
OC. No, because the function is not continuous on the interval [- 2,1], and is not differentiable on the interval (- 2,1).
O D. No, because the function is differentiable on the interval (- 2,1), but is not continuous on the interval [- 2,1].
b. Select the correct choice below and, if necessary, fill
the answer box to complete your choice.
O A. The point(s) is/are x = |
(Simplify your answer. Use a comma to separate answers as needed.)
O B. The Mean Value Theorem does not apply in this case.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95311bfc-c820-4cbd-a9ef-0d1bacd0748f%2Fb5585c90-1187-4407-bebb-5030bac0cade%2F06xh0us.png&w=3840&q=75)
Transcribed Image Text:a. Determine whether the Mean Value Theorem applies to the function f(x) = 3-x on the interval [-2,1].
b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem.
a. Choose the correct answer below.
O A. Yes, because the function is continuous on the interval [- 2,1] and differentiable on the interval (- 2,1).
O B. No, because the function is continuous on the interval [- 2,1], but is not differentiable on the interval (- 2,1).
OC. No, because the function is not continuous on the interval [- 2,1], and is not differentiable on the interval (- 2,1).
O D. No, because the function is differentiable on the interval (- 2,1), but is not continuous on the interval [- 2,1].
b. Select the correct choice below and, if necessary, fill
the answer box to complete your choice.
O A. The point(s) is/are x = |
(Simplify your answer. Use a comma to separate answers as needed.)
O B. The Mean Value Theorem does not apply in this case.
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