Suppose f is a function satisfying the following conditions: lim x3+ f(x) = +, lim x3 f(x) = , limx f(x) = 2, lim x f(x) = 1, f(0) = 3, and f 0 (x) < 0 for all x 6= 3, f(x) > 0 for all x > 3, f(x) < 0 for all x < 3. Draw a graph of the function f with all asymptotes and intercepts clearly labeled.
