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 :