Download VCU Math 151—Worksheet 4.1 Name: 1. f(x) = x 3x

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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.
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