Question

Graph the rational function f(x)=(-x^2+5x-3)/(x-2)
Graph the asymptotes(if any) and plot at least two points on each piece of the graph.

Answer 1

do slant asymptotes count? when you divide you will get
\[3-x+\frac{3}{x-2}\] so you have a slant asymptote at
\[y=3-x\]