The rational function is .

Find the intercepts :

The function is .

Change to .

.

To find intercept equate numerator .

intercept is

There is no intercept because is undefined for .

No intercept.

Find the vertical asymptotes :

Find the vertical asymptote by equating denominator to zero.

So the function has vertical asymptotes,  at .

Find the horizantal asymptote :

To find horizontal asymptote, first find the degree of the numerator and degree of the denominator.

Degree of the numerator and degree of the denominator .

Since the degree of numerator is less than degree of denominator.

So the function has horizontal asymptote, at .

Graph :

Graph the function .

Find the domain :

The domain of a  function is the set of all real numbers which makes the function mathematically correct.

Denominator of a function should not be .

Therefore the function is undefined at and .

Thus, the function is continuous for all real numbers except .

Therefore, domain .

Domain is .

The function has vertical asymptotes at .

The function has horizontal asymptote at .

Graph of the function is \ \