The rational function is .

The function can be written as .

Find the intercepts.

The rational function is .

Change to .

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To find intercept, substitute in the function.

intercept is .

To find -intercept, substitute in the function.

intercept is .

Find the vertical Asymptotes.

Find the vertical asymptotes by equating denominator to zero.

So the function has vertical asymptotes at .

Find the horizantal asymptotes :

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 .

Because the ratio of the leading coefficients of the numerator and denominator, and the degrees of polynomial are equal, So Horizantal asymptote is .

So the function has horizantal asymptote at .

The rational function is .

There is a hole at because the original function is undefined when .

Graph :

Draw the coordinate plane.

Graph the function .

Find the domain :

The function is .

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 . \ \

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

Therefore, domain of the function is . \ \

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intercept is .

intercept is .

The function has vertical asymptotes at .

The function has horizantal asymptote at . \ \

Domain of the function is . \ \

Graph of the function is