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# Calculus

Suppose f is a function satisfying the following conditions: lim x→3+ f(x) = +∞, lim x→3− 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.