Exercise 3. Let f be a function that satisfies all of the following conditions f (0) = 4 lim f(x) = 5 and lim f(x) = 5 lim f(x) - -oo and lim f(x) = 00 x 4 x-+4+ lim f(x) = co and lim f(x) = -co x--3 X- 3+ a) Sketch a graph of such a function. b) Find an formula for such a function. Explain your reasoning