The function f has the following properties: f(-4) = 1; f(-2) = 3; f(2) = -2; f(4) = 0; x = 0 is the only vertical asymptote; both the one-sided limits of f at 0 are infinite, but one or both may be negative. y = -1 is the horizontal asymptote on both ends [ lim f(x) = -1 and lim f(x) = -1] X -+ 00 x - -00 f' (-2) = 0; f'(2) = 0; f is not differentiable at x = 4; f"(-4) = 0; f' ( x) 0if -co 0 if -co