The equation is .

The function is .

Domain :

The function is .

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

Thus, the domain of the function  is .

Intercepts :

 - intercept is  :

Thus, there is no  - intercept.

 - intercept :

Consider  and solve for .

.

Thus, there is no  - intercept.

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.

.

Therefore, the function is an even function and it is symmetric about - axis.

Asymptotes :

Vertical asymptote :

Vertical asymptote exist when denominator is zero.

Equate denominator to zero.

Thus, the vertiacal 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 .

.

Find the critical points by equating  to zero.

.

Since  is not in the domain of the function and therefore there are no critical point.

Thus, the function has no extrema. 

Graph of the function  :

.

Graph of the function  :

.