The function is and interval is .

Find the intercepts :

Find the - intercept, substitute in the function.

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The -intercepts are and .

Find the -intercept, substitute in the function.

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The - intercept is .

Find the relative extrema:

The function is .

Apply derivative on each side with respect to .

Find the critical numbers by equating .

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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 .

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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 .

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The vertical asymptotes are .

Horizontal asymptote :

The line is a horizontal asymptote if .

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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 ..

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

Graph:

Graph of the function in the interval :

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