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In the exercises below, and for the given rational function f: 1-

In the exercises below, and for the given rational function f: 1- Find the domain of f.
2- Identify any vertical asymptotes of the graph of y = f(x).

3- Identify any holes in the graph.

4- Find the horizontal asymptote, if it exists.

5- Find the slant asymptote, if it exists.

6- Graph the function using a graphing utility and describe the behavior near the asymptotes.

f(x) = x /(3x – 6)

 
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