Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 + 5x + 2, [-1, 1] O There is not enough information to verify if this function satisfies the Mean Value Theorem. O Yes, fis continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, fis continuous on [-1, 1] but not differentiable on (-1, 1). O No, fis not continuous on [-1, 1]. 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.)
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 + 5x + 2, [-1, 1] O There is not enough information to verify if this function satisfies the Mean Value Theorem. O Yes, fis continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, fis continuous on [-1, 1] but not differentiable on (-1, 1). O No, fis not continuous on [-1, 1]. 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.)
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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