1. (16 pts) Sketch the graph of a function f satisfying all of the following conditions: (a) Domain of f = (-00, 0) U (0, +00); (b) f is even; (c) f is continuous on (0, +00); (d) f is not differentiable at x 4 ; e) lim f(x)=-3, lim f(x)=-00, (f) f'(x) > 0 on (0,4); (g) f'(x) 0 on (2,4) and (4, +o0)