a. Determine whether the Mean Value Theorem applies to the function f(x) = 6x on the interval [ - 512,512] b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. f(x) is continuous on [ - 512,512] and is differentiable on ( - 512,512). Therefore, the Mean Value Theorem applies to the given function. O B. The Mean Value Theorem does not apply to the given function because f(x) is not differentiable on ( - 512,512). O C. The Mean Value Theorem does not apply to the given function because f(x) is not continuous on [ - 512,512]. O D. f(x) is continuous on( - 512,512) and is differentiable on [- 512,512]. Therefore, the Mean Value Theorem applies to the given function. 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 exponential notation with positive exponents. Use integers or fractions for any numbers in the expression.) O B. The Mean Value Theorem does not apply in this case. 19 10 112 9 O 5 R