4. (12 points) Use the diagram below to sketch a graph of a function y = f(x) with the following properties (make sure your graph is clearly drawn so that these features are present): a) The domain of f(x) is [-4, -2) U (-2, 4] b) The range of f(x) is (-00, 00) c) f(x) has a removable discontinuity at r = 0. d) lim f(x) = -1 and 3 = f(2) = lim f(x) 1 -+2- I +2+ e) f'(3) >0 f) f(x) is continuous at a = -3 but f'(-3) DNE