The function is .

Domain :

The function .

The function is a rational function, therefore denominator should not be equal to zero.

.

The function  continuous for all the points except at .

Thus, the domain of the function  is .

Intercepts :

y - intercept is :

Thus,  - intercept is .

 - intercept :

Consider  and solve for x.

Thus,  - intercept is .

Symmetry :

If , then the function  is even and it is symmetric about -axis.

If , then the function  is odd and it is symmetric about origin.

Here .

Thus, the function  is neither even nor odd.

Asymptotes :

Vertical asymptote : 

Vertical asymptote exist when denominator is zero.

Equate denominator to zero.

Vertical asymptote is .

Horizontal asymptote:

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

  or 

Thus, the horizontal asymptote is  .

Intervals of increase or decrease :

Differentiate on each side  with respect to x:

.

 is never zero on its domain.

f  is increasing on its domain because 

Determination of extrema :

f  is an increasing function, hence there is no chance of local minimum or maximum.

Graph of the function  :  

. 

Graph of the function  :  

.