Question

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?

f(x) = x³ + x − 9,    [0, 2]

Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on .No, f is not continuous on [0, 2].    No, f is continuous on [0, 2] but not differentiable on (0, 2).Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.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 =

Answer 1