1. Sketch the graph of an example of a function f that satisfies all of the following conditions: f(0) = 3, lim f(x) = 4, lim f(x) = 2, lim f(x) = -0o, x-0 x-> 0+ 20-> - 00 lim f (x) = -00, lim f (x) = 00, lim f (x) = 3. x-4- x-+4+ 2. Sketch the graph of an example of a function f such that lim f(x) = 0, but lim is x-1 f (2) neither oo nor -co. Explain