For which value of a is this function continuous? Please use exact values. ax -1 x> 4 f (x ) = x 54 a Check Let f be a continuous function over [-3, 3]. Suppose that f(-3) = -1 and f(3) = 1. Which of the following statements could be false? Select one: O For all a E (-3, 3), lim f(x) = f(a). cross out x -+ a There exists a number c E [-3, 3] such that f(c) = 1/2. cross out The function f must have a root over the interval [-3, 3]. cross out O There exists a number c E [-1, 1] such that f(c) = 2. cross out Check