Each of Problem contains a function and its graph. For each problem, answer parts (a) and (b).
(a) Use the graph to determine, as well as you can,

(i) Vertical asymptotes.    (ii) lim_x→∞ f (x).

(iii) lim_x→-∞ f (x).                 (iv) Horizontal asymptotes.

(b) Check your conclusions in (a) by using the functions to determine items (i)–(iv) analytically.

2(x + 1) (x + 5) (x 3)(x + 2) f(x) 25 20 y = f(x) 15 10 5 -20 -10 10 20 -10