Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 375: 43

$V.A.$ $x=-2$ and $x=\frac{5}{2}$, $H.A$ $y=\frac{1}{2}$, $O.A.$ $none$.

Given $f(x)=\frac{x^2-2x-3}{2x^2-x-10}=\frac{(x+1)(x-3)}{(x+2)(2x-5)}$, we can identify the following: vertical asymptote $V.A.$ $x=-2$ and $x=\frac{5}{2}$, horizontal asymptote $H.A$ $y=\frac{1}{2}$, oblique asymptote $O.A.$ $none$.