1. Consider the function f(x) = '5 over the interval [1,9]. Complete parts a and b below. a. Determine whether the Mean Value Theorem applies to the above function on the given interval. 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + ; on the interval [ 7, 2]. b. It so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. V Yes, because the function is continuous on the interval [- T, - 2] and differentiable on the interval (- 7, - 2). No, because the function is differentiable on the interval (- 7, 2), but is not continuous on the interval [- 7, - 2]. No, because the function is continuous on the interval [- 7, 2], but is not differentiable on the interval (- T, 2). No, because the function is not continuous on the interval [ 7, - 2], and is not differentiable on the interval ( 7, - 2). b. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. C? A- The point(s) isfare x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) (:3 B. The Mean Value Theorem does not apply in this case. 3. A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 27 mi along the highway. When the car reached the location of the second officer 21 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit? Select the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The officer can conclude the driver exceeded the speed limit because, by the Extreme Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O B. The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O C. The officer can conclude the driver exceeded the speed limit because, by Rolle's Theorem, at some time c, the car was travelling at a speed of miles per hour