The graph of y = f(x) is shown below. The graph of the function decreases linearly with a slope of -1 to the point (1,1) and then increases linearly with a slope of 1 from the point (1,1). -2 -1 2 3 Answer each of the following questions about f(x). You have one submission for each question. (a) Does lim f(x) exist? x-3 Yes No (b) Is f(x) continuous at x = 3? Yes No (c) Is f(x) differentiable at x = 3? Yes No (d) Does lim f(x) exist? x-1 Yes No (e) Is f(x) continuous at x = 1? Yes No (f) Is f(x) differentiable at x = 1? Yes No