A function f(x) and interval [a, b] are given. Check if Rolle's Theorem can be applied to f on [a, b]. a) f(x) = 18 on [-11, 11]. f ? + continuous on [-11, 11]. f ? differentiable on (-11, 11). f(-11) = and f(11) = . The two values are ? Rolle's Theorem ? apply in this situation. b) f(x) = 18x on [-11, 11]. f ? continuous on [-11, 11]. f ? differentiable on (-11, 11). f(-11) = and f(11) = . The two values a v ? Rolle's Theorem(? apply in this situation equal not equal b) f(a) = 18|x| on [-11, 11]. f ? continuous on [-11, 11]. f ? differentiable on (-11, 11). f(-11) = and f(11) = . The two values are ? Rolle's Theorem (? apply in this situation.f(a:) =a:3+31:224:c+3 3) Find f'(m). C] b) Identify the graph that displays f in blue and f'in red. ? : c) Using the graphs of f and f', indicate where f is increasing and decreasing. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for 00 and '-|NF' for 00. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f is increasing on E] f is decreasing on C]