It will look like a hyperbola. The asymptotes you have found are correct. If you went a step further and found the limit as x -> -1 and 2, you would have found that y -> infinity
f(x) = (x-1)/ sqrt(x^2-x-2)
so far i know...
1. that x^2-x-2 can be factored to (x+1)(x-2)
2. region of x-values where f(x) is undefined
3. vertical asmptote at 2 and -1
4. horizontal at 1 and -1
Now basically i will be graded on my graph ... so if anyone know what the graph will look like.... I will appreciate a lot.
Thanks