Sketch the graph of a functionf (x) using all the information below. • f(x) is differentiable on its domain (-0, –1) U(-1,2) U (2, 0), lim f(x) = 0, lim f(x) = ∞, X→-00 lim_f(x) = lim f(x) = lim f(x)...

Extracted text: Sketch the graph of a functionf (x) using all the information below. • f(x) is differentiable on its domain (-0, –1) U(-1,2) U (2, 0), lim f(x) = 0, lim f(x) = ∞, X→-00 lim_f(x) = lim f(x) = lim f(x) = lim f(x) = -00 %3D x→-1- x→-1+ x→2- x→2+ • f(0) = -1 is the only local maximum value of f(x), and f(x) has no local minimum values, The only inflection point of f(x) is (3,0), moreover f'(3) = 0.