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PART B: COMMUNICATION 5. For the function: f(x) = x + 3 (x2 - 4) f' (x) =x -6x -4 ( x2 - 4) 2 f" ( x ) = 4 2(x3 + 9x2 + 12x + 12) (x2 - 4)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). e) Find any local extrema. [2] Page 6 of 13 f) Find point(s) of inflection. [3] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection