sketch the curve: f(x)=(x-2)/(x^2-3x-4)

show all work

domain

asymptotes: vertical asymptotes/ holes and limit test

horizontal asymptotes (using lim )

oblique asymptotes

first derivative test

- critical 3's

sign chart

identify max/min points

second derivative test

- second derivative

-sign chart

-identify infection points

sketch

-clearly indicated scale

-neat sketch

-key points identified on sketch