The function is .

Find the intercept :

To find the -intercept, substitute  in the function.

The-intercept is 

To find the -intercept, substitute  in the function.

The -intercept is .

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 .

.

.

Imaginary roots are not considered.

There is no critical points.

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

Find the points of inflection :

The first derivative of  is .

Differentiate on each side with respect to .

Quotient rule of derivatives : .

.

The second derivative of  is .

To find inflection points we make.

.

,

, .

,  and .

Imaginary roots are not considered.

The inflection point occurs at .

If , then .

Thus, the inflection point is .

Find the asymptotes :

Vertical asymptote :

The function is .

Vertical asymptote exist when denominator is zero.

Equate denominator to zero.

.

Thus, the vertical asymptotes are  and .

Horizontal asymptote :

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

Thus, the horizontal asymptote is .

Graph :

Draw a coordiante plane.

Graph the function .

Note : The dashed lines indicates horizontal and vertical asymptotes.

Intercept : .

Relative extremum points : none.

Inflection point : .

Vertical asymptotes :  and .

Horizontal asymptote : .

Graph of the function  :

.