how can i solve this question from a to f (please include explanation to each one)

2. Let x3 $3+1 f($) = (a) State the domain of f(:r). (b) Find the a: and yintercepts, if there are any. (0) Determine whether y = f (:12) has any vertical or herizontal asymptotes. Justify your answer with limit calculations. ((1) Given that 3:32 (333 + 1)2 ' determine the intervals on which f (:13) is increasing and the intervals on which it is de- creasing. Determine the local maximum and minimum values of the function. (e) Given that f'(a;) = 633(2933 1) determine the intervals on which f (as) is concave up and the intervals on which it is concave down. Identify any inection points. f"(w) = - (f) Use the previous parts to sketch the graph of y = f (13)