1. ## graph funtions

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

2. 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

3. Originally Posted by darkangel
f(x) = (x-1)/ sqrt(x^2-x-2)

...
4. horizontal at 1 and -1

...
If x approaches infinity the graph of this function will approach the asymptote $y = 1$ from below because the graph has a minimum point at $P_{min}\left(5\ ,\ \frac23 \cdot \sqrt{2} \approx 0.9428...\right)$

4. aite thanks for ur replies i will try to finish it, later on today