Answer
See graph.
Work Step by Step
Given $f(x)=\frac{x^4-5x^2+4}{x^4-24x^2+108}=\frac{(x^2-4)(x^2-1)}{(x^2-6)(x^2-18)}=\frac{(x-2)(x+2)(x-1)(x+1)}{(x-\sqrt 6)(x+\sqrt 5)(x-3\sqrt 2)(x+3\sqrt 2)}$, we can identify: V.A. $x=\pm\sqrt 6,\pm3\sqrt 2$, H.A. $y=1$, O.A. $none$. See graph.