Find the domain.
The denominator is 0 for
= –2. The function is undefined for
= –2. The domain of the function is all real numbers except
Is the rational expression in simplest form?
The rational expression is in simplest form and the function is undefined for
= –2. Therefore, the vertical asymptote of the function is
Draw the asymptote.
Make a table of values.
Substitute values for
= –2 in the function. Find
. Make a table of values.
Plot the points.
Plot the points (
) from the table.
Connect the points.
Connect the points with a smooth curve.
Find the horizontal asymptote.
| increases, the
–values get closer and closer to 0. Therefore,
= 0 is a horizontal asymptote of the function.
Draw the horizontal asymptote.
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