K Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 2/5 f(x)=x [0,1] Choose the correct answer below. OA. No, f(x) is differentiable for every point in (0,1) but is not continuous for every point of [0,1]. B. Yes, f(x) is continuous for every point of (0,1) and differentiable for every point in [0,1]. C. No, f(x) is continuous for every point of [0,1] but is not differentiable for every point in (0,1). OD. Yes, f(x) is continuous for every point of [0,1] and differentiable for every point in (0,1). Inc