Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x2 + 4x + 2, [-1, 1] O Yes, it does not matter if fis continuous or differentiable; every functlon satisfies the Mean Value Theorem. O No, f is continuous on [-1, 1] but not differentiable on (-1, 1). O Yes, f is continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O No, f is not continuous on [-1, 1]. 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 conclusidn of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the H DNE.) C =

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x2 + 4x + 2, [-1, 1] O Yes, it does not matter if fis continuous or differentiable; every functlon satisfies the Mean Value Theorem. O No, f is continuous on [-1, 1] but not differentiable on (-1, 1). O Yes, f is continuous on [-1, 1] and differentiable on (-1, 1) since polynomials are continuous and differentiable on R. O No, f is not continuous on [-1, 1]. 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 conclusidn of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the H DNE.) C =

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

What does it mean to say that f(4) is a local maximum valueof f ?
What is the purpose of the Intermediate Value Theorem?
Find all function values f(x) such that the distance from f(x) to the value 8 is less than 0.03 units. Express this using absolute value notation.
Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f decreases on the interval -,x1 and increases on the interval x1,, then fx1 is a local maximum value.