Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1]
No, f is continuous on [−1, 1] but not differentiable on (−1, 1).
No, f is not continuous on [−1, 1].
Yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on .
There is not enough information to verify if this function satisfies the Mean Value Theorem.
Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.