Each of Problem contains a function and its graph. For each problem, answer parts (a) and (b).

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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) limx→∞ f (x).

(iii) limx→-∞ 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)²(x + 2)² f(x) 25 20 y = f(x) 15 10 5 -20 -10 10 20 -10

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