The rational function is .

Find the intercepts.

The function is .

Change to .

.

To find intercept, equate numerator to .

There are no intercepts.

To find intercept, subustiute in the function.

intercept is .

Find the vertical asymptotes.

Find the vertical asymptote by equating denominator to zero.

.

yeilds no real zeros.

So the function does not have vertical asymptotes.

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, the function has horizontal asymptote at .

Graph :

The function is

Find the domain.

The domain of a  function is the set of all real numbers except those for which the denominator is .

To find which number make the fraction undefined create an equation where the denominator is not equal to .

Therefore the function is undefined at the real zero of the denominator .

.

yeilds no real zeros.

Therefore, domain is .

Domain is .

The function has horizontal asymptote at .

No vertical asymptotes.

Graph of the function is