Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. fix}=x'\"9; [141 E) Choose the correct answer below. C} A. No, x} is differentiable for every point in [ 1",4} but is not continuous for every point of [ T51]. C} E. Yes, x} is continuous for every point of [ 1",4} and differentiable for every point in [ I4]. C} C. Yes, x} is continuous for every point of [ I4] and differentiable for every point in l 14}. C} D. No, x} is continuous for every point of [ ?,4] but is not differentiable for every point in [ 1'24}