Let $$f(x) = \frac{x^4}{x^2 + 5}.$$

Find the equations of the horizontal asymptotes and the vertical asymptotes of $f(x)$. If there are no asymptotes of a given type, enter 'NONE'. If there is more than one asymptote of a given type, give a comma separated list (i.e.: 1, 2,...).
Horizontal asymptotes: $y =$

Vertical asymptotes: $x =$