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.

This is undefined for .

There is no - intercept.

Find the relative extrema for the function :

Consider  .

Differentiate  on each side  with respect to .

Quotient rule of derivatives : .

.

.

Find the critical numbers by equating to .

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The critical point does not exit.

Therefore, there is no relative extremum points and the function is increasing for all values of .

Find the points of inflection :

The first derivative of is .

Differentiate on each side with respect to .

.

Power rule of derivatives :  .

.

The second derivative of is .

Equate to .

.

The inflection points does not exist.

There is no inflection points.

Find the asymptotes of function :

Consider .

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 .

.

The horizontal asymptote is .

Graph :

Draw a coordinate plane.

Graph the function .

Note : The dashed lines indicates horizontal and vertical asymptotes.

Intercepts :

- intercept : .

- intercept : None.

Relative extremum points : None.

Inflection pointds : None.

Vertical asymptotes : .

Horizontal asymptote : .

Graph of the function :