(a) (b) (c) Consider the function f (x) defined by x x 12 8 if x 2, 2 if x 2. Is the function f (x) continuous at x 2. Explain your answer _ Let f (x) = max(x 3), where max(a b) bifb> a. Is the function f (x) continuous? Explain your answer. Let f (x) = max(x 3). Is f(x) differentiable at x 3? Explain your answer.