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5. For the function: f ( x ) = = x +3 -x' - 6x - 4 (x2 - 4) f' ( x) = - f" (x ) = _ 2(x3+ 9x2 + 12x + 12) (x2 -4)2 (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). [1] e) Find any local extrema. [2]f) Find point(s) of inflection. [3] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection. [4]