Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x^3 + x 1, [0, 2] a) There is not enough information to verify if this function satisfies the Mean Value Theorem. b) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. c) Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on double-struck R. d) No, f is continuous on [0, 2] but not differentiable on (0, 2). e) No, f is not continuous on [0, 2]. 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=_______