i) The given function is

We can rewrite in factored form to obtain;


The domain is



ii) To find the vertical asymptotes equate the denominator to zero.



iii) To find the roots, equate the numerator to zero.



iv) To find the y-intercept, substitute
into the equation.

We simplify to obtain;


v) The horizontal asymptote is

The equation of the horizontal asymptote is y=1
vi) The function does not have a variable factor that is common to both the numerator and the denominator.
The function has no holes in it.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.