The rational function is .

Find the intercepts.

The function is .

Change to .

.

To find intercept, equate numerator to .

intercept is .

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.

So the function has horizontal asymptote at .

Graph :

The rational function is

Find the domain.

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

Denominator of the function should not be .

.

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.

The rational function is