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.

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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 :

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Differentiate on each side  with respect to .

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Find the critical points by equating to zero.

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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 :

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Graph of the function :

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