Graphs of rational functions

Let $f(x)=\dfrac{ax^n+bx^2+10}{cx^m+dx-2}$f, left parenthesis, x, right parenthesis, equals, start fraction, a, x, start superscript, n, end superscript, plus, b, x, squared, plus, 10, divided by, c, x, start superscript, m, end superscript, plus, d, x, minus, 2, end fraction, where $m$m and $n$n are integers and $a$a, $b$b, $c$c and $d$d are unknown constants.