A2 The asymptote of the function $f(x)=\frac{p(x)}{q(x)}$, where $q(x)=1+2 x-3 x^{2}$ and $p(x)=x^{2}-4$, has the equation:
(A) $y=0$
(B) $y=1$
(C) $y=-\frac{1}{3}$
(D) $y=-3$
(E) $y=3$
A2. The rational function has the rule $f(x)=\frac{x^{2}-4}{1+2 x-3 x^{2}}$. The degrees of the numerator and the denominator are equal, so the asymptote is equal to the quotient of the leading coefficients and is $y=-\frac{1}{3}$.