The function is .

Find the intercepts :

To find the - intercept, substitute in the function.

.

The - intercept is .

To find the -intercept, substitute in the function.

The - intercept does not exits.

Find the relative extrema for the function :

Consider .

Differentiate on each side with respect to .

Use power rule : .

To find the critical number, make .

.

.

.

The relative extremum point occurs at . 

If , then .

Thus, the relative extremum point is .

Find the points of inflection :

 Consider .

Derivative on each side with respect to .

.

Use power rule : .

.

To find inflection points, equate to zero.

.

Does not exist.

There is no inflection points.

Find the asymptotes :

.

Vertical asymptote :

To find vertical asymptote, equate denominator to zero.

The vertical asymptote is .

Horizontal asymptote :

The line is called a horizontal asymptote of the curve if either   or .

.

As, then .

.

.

There is no horizontal asymptote.

Slant asymptote :

Since there is no horizontal asymptote, it does have a slant asymptote.

As , .

Thus, the slant asymptote is .

Intervals of increase or decrease:

Consider the test intervals as , and .

\ Interval \	Test Value	Sign of	Conclusion
		\ \	Concave downward
		\ \	Concave downward
		\ \	Concave downward

Thus, the graph is concave downward on the intervals , , and .

Graph :

Draw a coordinate plane.

Graph the function .

Note : The dashed lines indicates vertical asymptote.

Intercepts :

- intercept : .

- intercept : None.

Relative extremum points : .

Inflection points : None.

Vertical asymptotes : .

Horizontal asymptote : None.

Slant asymptote : .

The graph is concave downward on the intervals, , and .

Graph of the function :