Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's theorem. f(x) =5-x ; [-1,1] Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply."Determine whether Rolle's Theorem applies to the following function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. h(x) = e"": [-a.a], where a > 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply.Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's theorem. f(x) =x(x -6) : [0,6] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply