9. (10 points) Sketch the graph of an example of a function f that satisfies all of the following conditions: . f(0) = 3 . lim f(x) = -00 . lim f (x) = 0o x->4+ . lim f(x) = 4 x-+0- . lim f(x) = 2 . lim f(x) = -00 . lim f(x) = 3 x->0+ 10. (10 points) Find the horizontal and vertical asymptotes of each curve using limits. (a) f(2) = 2x- + x- 1 x - 9 (b) F(2) = x2 + x - 2 Vx2 + 9