5 Determine if the requirements for Rolle's theorem are met by the function f(x) = 2 on the interval [- 3, 3]. If so, x nd the values of cin (- 3, 3) guaranteed by the theorem. O f(x) is continuous on [- 3, 3] and differentiable on (- 3, 3). When evaluated, f( - 3) = -% and f(3) = 3. Therefore, f(a) f(b) and the conditions of Rolle's Theorem are not met. . . . . 5 5 f(x) Is continuous on [- 3, 3] and differentiable on (- 3, 3). When evaluated, f( - 3) = 5 and f(3) = 5. Therefore, 0 Ha) =f(b) and the conditions of Rolle's theorem are met. The value guaranteed by Rolle's theorem is c = 0. f(x) is not continuous on [- 3, 3]. Therefore, the first requirement is not met and Rolle's theorem does not apply. 0 f(x) is continuous on [- 3, 3] but not differentiable on (- 3, 3). The conditions of Rolle's theorem are not met