The function is .

Domain :

The function .

The denominator of the function should not be zero.

The function  continuous for all the points except at .

Thus, the domain of the function  is .

Intercepts :

 - 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 .

.

 is never zero on its domain.

 is decreasing on its domain because 

Determination of extrema :

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

Determination of inflection point:

Differentiate on each side with respect to .

 is never zero.

Hence, there is no inflection points.

But at  the function is undefined.

Consider the test intervals as  and 

\ Interval \	Test Value	\ Sign of  \	Concavity
	\ \	\ \	Down
		\ \	\ Up \

Thus, the graph is concave up on the interval .

The graph is concave down on the interval .

Graph :

Graph of the function  : 

Graph of the function  :

.