continuous on the interval [-1,2), and is not differentiable on the interval (-1,2) urentiable on the interval (-1,2), but is not continuous on the interval [-1,21 tinuous on the interval [-1,21, but is not differentiable on the interval (-1,2) nfinuous on the interval -1.2 and differentiable on the interval (-1.2)

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) = -4+x on the interval [-1,2].
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. No, because the function is not continuous on the interval [-1,21, and is not differentiable on the interval (-1,2)
O B. No, because the function is differentiable on the interval (-1,2), but is not continuous on the interval -1.21
OC. No, because the function is continuous on the interval -1,2, but is not differentiable on the interval (-1.2)
O D. Yes, because the function is continuous on the interval -1,2] and differentiable on the interval (-1.2)
b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The point(s) is/are x=
(Simplify your answer. Use a oomma to separate answers as needed)
B. The Mean Value Theorem does not apply in this case.
Transcribed Image Text:a. Determine whether the Mean Value Theorem applies to the function f(x) = -4+x on the interval [-1,2]. 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. No, because the function is not continuous on the interval [-1,21, and is not differentiable on the interval (-1,2) O B. No, because the function is differentiable on the interval (-1,2), but is not continuous on the interval -1.21 OC. No, because the function is continuous on the interval -1,2, but is not differentiable on the interval (-1.2) O D. Yes, because the function is continuous on the interval -1,2] and differentiable on the interval (-1.2) b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The point(s) is/are x= (Simplify your answer. Use a oomma to separate answers as needed) B. The Mean Value Theorem does not apply in this case.
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