The equation is .

The function is .

Consider the function is .

Domain :

The function is .

The function consists radical term, therefore it is defined for .

Since -term is i the denominator part,then it should not equal to zero.

Thus, the domain of the function is all positive numbers.

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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Above function is not defined in the domain of the function.

Therefore, the function is neither even nor odd function.

Asymptotes :

Vertical asymptote :

Vertical asymptote exist when denominator is zero.

Equate denominator to zero.

Thus, the 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 .

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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 :

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Graph of the function :

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