31) Assume that f(x) is strictly increasing on [a, b). Which of the following statements is not true? a) Let f([a, b]) = {f(x) |xe [a, b]}. If f(x) is continuous on [a, b], then f([a, b]) = [f(a), f(b)]. b) Let f([a, b]) = {f(x) |a e [a, b]}. If f([a, b]) = [f(a), f(b)], then f(x) is continuous on [a, b]. c) f'(x) > 0 for all a E [a, b]. d) None of the above 32) The function f(x) = , sin() if x 7 0 if x = 0 a) is not continuous at a = 0. b) is continuous at a = 0, but not differentiable at x = 0. c) is continuous at a = 0, and differentiable at a = 0. d) None of the above. 33) The function f(x) = ( xsin() ifx 4 0 if x = 0 a) is not continuous at a = 0. b) is continuous at a = 0, but not differentiable at a = 0. c) is continuous at a = 0, and differentiable at a = 0. d) None of the above. 34) The function f(x) = { - sin() ifa # 0 if x = 0 a) is not continuous at a = 0. b) is continuous at a = 0, but not differentiable at x = 0. c) is continuous at a = 0, and differentiable at a = 0. d) None of the above