PLEASE CHOOSE THE CORRECT ANSWER, THANK YOU.

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. 8/9 f(x) = x ; [- 2,4] Choose the correct answer below. O A. Yes, f(x) is continuous for every point of [ - 2,4] and differentiable for every point in ( - 2,4). O B. No, f(x) is continuous for every point of [ - 2,4] but is not differentiable for every point in ( - 2,4). O C. Yes, f(x) is continuous for every point of (- 2,4) and differentiable for every point in [ - 2,4]. O D. No, f(x) is differentiable for every point in ( - 2,4) but is not continuous for every point of [ - 2,4]