Consider the following function and closed interval.f(x) = x³ – 3x + 5, [-2, 2]Is f continuous on the closed interval [-2, 2]?Yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.Yes, f is continuous on [-2, 2] and differentiable on (-2, 2) since polynomials are continuous and differentiable on R.No, f is not continuous on [-2, 2].No, f is continuous on [-2, 2] but not differentiable on (-2, 2).There is not enough information to verify if this function satisfies the mean value theorem.If f is differentiable on the open interval (-2, 2), find f'(x). (If it is not differentiable on the open interval, enter DNE.)f'(x) =Find f(-2) and f(2). (If an answer does not exist, enter DNE.)f(-2)%3DF(2)%D

Answered: Image /qna-images/answer/cac116af-ca5c-4ed1-a9a5-f7911992868f.jpg

Consider the following function and closed interval. f(x) = x - 3x + 5, [-2, 2] Is f continuous on the closed interval [-2, 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 [-2, 21 and differentiable on (-2, 2) since polynomials are continuous and differentiable on R. O No, f is not continuous on [-2, 2]. O No, f is continuous on [-2, 2] but not differentiable on (-2, 2). O There is not enough information to verify if this function satisfies the mean value theorem. If f is differentiable on the open interval (-2, 2), find f'(x). (If it is not differentiable on the open interval, enter DNE.) f'(x) = Find f(-2) and f(2). (If an answer does not exist, enter DNE.) f(-2) = f(2) =

Consider the following function and closed interval. f(x) = x - 3x + 5, [-2, 2] Is f continuous on the closed interval [-2, 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 [-2, 21 and differentiable on (-2, 2) since polynomials are continuous and differentiable on R. O No, f is not continuous on [-2, 2]. O No, f is continuous on [-2, 2] but not differentiable on (-2, 2). O There is not enough information to verify if this function satisfies the mean value theorem. If f is differentiable on the open interval (-2, 2), find f'(x). (If it is not differentiable on the open interval, enter DNE.) f'(x) = Find f(-2) and f(2). (If an answer does not exist, enter DNE.) f(-2) = f(2) =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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