Consider the function $$f(x)= \frac{x^4+5}{x^2+ 12 x+ 38 }$$
What are the vertical asymptotes? Give a list of the $x$-values of the asymptotes separated by commas. If there are none, enter None.
$x =$

What is the horizontal asymptote? If there are none, enter None.
$y =$

What are the $x$ -intercepts? Give a list of the $x$-values of the $x$ -intercepts separated by commas. If there are none, enter None.
$x =$

What is the $y$- intercept? If there are none, enter None.
$y =$