a. Determine whether the Mean Value Theorem applies to the function f(x) = e^ on the given interval [0, In 8].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. The Mean Value Theorem does not apply because the function is not continuous on [0, In 8].O B. The Mean Value Theorem applies because the function is continuous on [0, In 8] and differentiable on (0, In 8).O C. The Mean Value Theorem does not apply because the function is not differentiable on (0, In 8).D. The Mean Value Theorem applies because the function is continuous on (0, In 8) and differentiable on [0, In 8].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=(Type an exact answer. Use a comma to separate answers as needed.)B. The Mean Value Theorem does not apply in this case.

Introduction: The mean value theorem is an advanced property shown by a continuously differentiable…

a. Determine whether the Mean Value Theorem applies to the function f(x) = e^ on the given interval [0, In 8]. 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. The Mean Value Theorem does not apply because the function is not continuous on [0, In 8]. B. The Mean Value Theorem applies because the function is continuous on [0, In 8] and differentiable on (0, In C. The Mean Value Theorem does not apply because the function is not differentiable on (0, In 8). O D. The Mean Value Theorem applies because the function is continuous on (0, In 8) and differentiable on [0, In h Select the correct choice below and if no o fill: