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1. (25 pts) The graph of a function fis given in the figure below. The domain of fis (-, +.). Use the graph of fto answer the questions below. y = f(x) y=f(x) -3 -1 1 2 3 4 (I) (1 pt) Find the range of f. Range of f = (II) Find the following values. (Note: Possible answers include + , -, or "does not exist".) (a) (1 pt) lim f (x) = x+3+ (b) (1 pt) lim f (x) = (C) (1 pt) lim f (x) = x+3 (a) (1 pt) f(3) = (e) (2 pts) lim f (x) = (f) (2 pts) lim f(x) = (g) (2 pts) lim f (x) = (h) (2 pts) lim f (x) = (i) (2 pts) lim f (x) = (III) (2 pts) Find all vertical asymptotes. (IV) (2 pts) Find all horizontal asymptotes. (V) (2 pts) Find all slant asymptotes. (VI) (4 pts) Determine the intervals of continuity for f.
1. (32 pts) The graph of a function f is given in the figure below. The domain of fis (-0, +). Use the graph of fto answer the questions below. y = f(x) y=f(x) (I) (2 pts) Find the range of f. Range of f = (II) Find the following values. (Note: Possible answers include + co, -, or "does not exist".) (a) (2 pts) lim f (x) = X+1 + (b) (2 pts) lim f (x) = (c) (2 pts) lim f (x) = x+1 (a) (2 pts) f(1) = (e) (2 pts) lim f (x) = (f) (2 pts) lim f (x) = (g) (2 pts) lim f (x) = (h) (2 pts) lim f (x) = (i) (2 pts) lim f (x) = (j) (2 pts) f (0) = (III) (2 pts) Find all vertical asymptotes. (IV) (2 pts) Find all horizontal asymptotes. (V) (2 pts) Find all slant asymptotes. (VI) (4 pts) Determine the intervals of continuity for f.
1 tan (2) 2. (a) lim 2+2 x2 +1 5 sin(3.c) – 3 (b) lim 20 T (e) lim (3z* sin (-)] = 0
