Leave any unneeded answer spaces blank. Let
$$f(x) = \frac{-9 x^3+ 63 x^2 - 56 x+ 12 }{3 x^3 - 8 x^2 - 20 x+ 16 }$$
The domain of the function $f$, in interval notation, is: .

Enter the root(s) of $f$ as a comma-separated list:

The graph of $f$ has one hole at the point: ( , ).

The graph of $f$ has vertical asymptotes when $x$ is: (enter a comma-separated list of $x$ values)

The graph of $f$ has a horizontal asymptote at $y=$