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VCU Math 151—Worksheet 4.1 Name: 1. f (x) = x 3x − 6 (a) Find the domain of f . (b) Identify any vertical asymptotes of the graph of y = f (x). (c) Identify any holes in the graph. (d) Find the horizontal asymptote, if it exists. (e) Graph the function using a graphing utility and describe the behavior near the asymptotes. 2. f (x) = x2 − x − 12 x2 + x − 6 (a) Find the domain of f . (b) Identify any vertical asymptotes of the graph of y = f (x). (c) Identify any holes in the graph. (d) Find the horizontal asymptote, if it exists. (e) Graph the function using a graphing utility and describe the behavior near the asymptotes.