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5. For the function: x3 f(x) =; (x + 2) f' (x) = 2x5 + 6x2 (x + 2) 2 f"(x) = 2x5 + 12x2 + 24x (x+ 2)3 a) Find the domain. [1] b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the discontinuity. [3] c) Find all intercepts. [1] d) Find critical point(s). [2] e) Find any local extrema. [2] f) Find point(s) of inflection. [2] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection. [4]