a. Determine whether the Mean Value Theorem applies to the function f(x) = - 2 -x on the interval [ - 2, 1]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. . . . a. Choose the correct answer below. O A. No, because the function is not continuous on the interval [ - 2,1], and is not differentiable on the interval ( - 2,1). O B. No, because the function is continuous on the interval [ - 2,1], but is not differentiable on the interval ( - 2, 1). O C. No, because the function is differentiable on the interval ( - 2,1), but is not continuous on the interval [ - 2, 1]. O D. Yes, because the function is continuous on the interval [ - 2,1] and differentiable on the interval ( - 2, 1). b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are x = (Simplify your answer. Use a comma to separate answers as needed.) O B. The Mean Value Theorem does not apply in this case.Find the critical points of the following function. 2 f(x)=4x + 3x+2 E> Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The critical point(s) occur(s) at x = D. (Use a comma to separate answers as needed.) 0 B. There are no critical points