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3. (24 points) In each of the following, you are given the function, f(7), its derivative, 1" (27) and its second derivative, f\"(a:). For each of these, do the following. i) Find the domain of f(&'3). ii) Find the zeros of f (2:) iii) Find the vertical asymptotes of f(.'13), if it has any. iv) Find the horizontal asymptotes of at), if it has any. v) Find the zeros of f'(;r:). vi) Find the interval(s) where f (3:) is increasing. vii) Find the interval(s) where f (:13) is decreasing. viii) Find all local maximum and minimum values of f (3:) ix) Find the zeros of f"(a:). x) Find the interval(s) Where f (3:) is concave up. xi) Find the interval(s) Where f (as) is concave down. xii) Find all points of inection of f(.'13). (a) (12 points) fa) = (a: + 4)3 (a: , 3), f'(:c) = (a: + 4)2 (4a: , 5), f"(:c) = 5 (a: + 4) (25': + 1)