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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =- x + 4 [1, 8] 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 [1, 8] and differentiable on (1, 8). O No, f is continuous on [1, 8] but not differentiable on (1, 8). O No, fis not continuous on [1, 8]. 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-separated list. If it does not satisfy the hypotheses, enter DNE). C =

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =- x + 4 [1, 8] 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 [1, 8] and differentiable on (1, 8). O No, f is continuous on [1, 8] but not differentiable on (1, 8). O No, fis not continuous on [1, 8]. 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-separated list. If it does not satisfy the hypotheses, enter DNE). C =

College Algebra
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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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = - [1, 8] %3D 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 [1, 8] and differentiable on (1, 8). O No, f is continuous on [1, 8] but not differentiable on (1, 8). O No, f is not continuous on [1, 8]. 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-separated list. If it does not satisfy the hypotheses, enter DNE). C =
Transcribed Image Text:Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = - [1, 8] %3D 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 [1, 8] and differentiable on (1, 8). O No, f is continuous on [1, 8] but not differentiable on (1, 8). O No, f is not continuous on [1, 8]. 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-separated list. If it does not satisfy the hypotheses, enter DNE). C =
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