Question 3 (a) Consider the function f(x) defined by f (x) = 1x+2" q,if x * -2, -4, if x = -2. Discuss the continuity of the function f(x) at x = -2. Explain your answer. (6 marks) x-9 (b) Let f(x) = ix-3. if x # 3 6, if x = 3. Discuss the continuity of the function f(x). For which values of x is the function f (x) continuous? Explain your answer. (7 marks) (c) Let f be a function such that If (x)| S x3 for all x e R. Is f (x) differentiable at x = 0? If yes, find f'(0). (7 marks) Question 4 (a) Show that the equation x3 = 10 + x has at least one real solution. (10 marks) (b) Using Mean Value Theorem applied to f(x) = vx, show that v83