.
Find the domain and range of the function.
\Domain of the function is all possible values of .
Observe the graph of the function:
\The function is defined at all possible values of except
.
Thus, the domain is .
Range of the function is all possible values of .
Observe the graph of the function.
\Range of the function is .
.
Find intercepts, if any. \ \
\Observe the graph of the function.
\There are no intercepts to the graph.
\Find horizontal asymptotes, if any.
\The line is a horizontal asymptote of the function
if
approaches
as
approaches
.
Observe the graph of the function.
\There is no horizontal asymptote.
\Find vertical asymptotes, if any.
\The line is a vertical asymptote of the function
if
approaches
as
approaches
from the right or left.
Observe the graph of the function.
\The vertical asympote is .
Find oblique asymptotes, if any.
\When a linear asymptote is not parallel to the - or
-axis, it is called an oblique asymptote (or) slant asymptote.
Observe the graph of the function.
\The oblique asympote is .
Domian : .
Range : .
There are no intercets to the graph.
No horizontal asymptote.
The vertical asympote is
.
The oblique asympote is
.