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2. Given f(x) = X 1-x f' (x) = and f"(x) = 2(x-2) (1+ x)2 . determine the following for f (x) : (1 +x) (1+ x)+ a) domain and x and y intercepts. /2 A] b) equations of any asymptotes and behaviour of the function around the asymptotes. Use limits where possible. /3 A] c) critical points, intervals of increase and decrease, and coordinates of local maxima or minima. 14 A d) intervals of concavity and any points of inflection. L /4 A] e) using the information from (a) to (d) draw a detailed labelled sketch below. /3 C]