The function is  and interval is .

Find the intercepts :

To find the - intercept, substitute  in the function.

.

The -intercepts are  and .

To find the -intercept, substitute  in the function.

.

The - intercept is .

Find the relative extrema:

The function is .

Apply derivative on each side with respect to .

To find the critical numbers by equating .

.

The solutions of  are  and  in the interval .

Thus, the critical points occur at  and .

If , then .

If , then .

The relative maximum is .

The relative minimum is .

Find the points of inflection :

Consider .

Apply derivative on each side with respect to .

Find inflection points by equating .

Apply zero product property.

 and 

 and 

There is no real solutions of .

The solutions of   are  in the interval .

If , then .

Thus, the inflection point is .

Find the asymptotes :

The function is .

Vertical asymptote :

The line  is a vertical asymptote if .

.

.

The vertical asymptotes are .

Horizontal asymptote :

The line  is a horizontal asymptote if .

.

.

Therefore, there is no horizontal asymptote for the function .

Find intervals of increase or decrease :

Consider the test intervals as  and 

\ Interval \	Test Value	Sign of	Sign of	Conclusion
		\ \	\ \	\ Decreases \ Concave up \
			\ \	\ Increases \ Concave up \
			\ \	\ Increases \ Concave down \
		\ \	\ \	Decreases, concave down

The function is  in the interval .

Graph :

Graph the function  in the interval .

Observe the above two graph : The graphs represents the same function, i.e, .

Graph:

Graph of the function  in the interval  :

.