Does the function satisfy the hypotheses of the Mean Value Theorem. find all numbers c that satisfy

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