Originally Posted by

**Jiyongie** So I'm supposed to sketch f(x)= (-2x)/(x^2-4)

I've found that domain is all real numbers except +/-2

Intercepts are (0,0)

Asymptotes - y=0 is the line of the horizontal one

I'm not sure how to get the vertical asymptote???

Then I found the derivative of f(x), which is f'(x)= 2(x^2+4) / (x^2-4)^2

Now I need to find the critical points.. but I'm really confused at this part because x^2 can't equal -4 right? But critical points are also points that don't exist.. so do I use +/-2 as critical points??