Hello,

I'm left with the instructions:

*"A rational function, R(x) has the following characteristics: a vertical asymptote at x=3, a horizontal asymptote at y=2, and a hole at (2,-2). Sketch the function and determine what it could be."*
The function I have created thus far is

Code:

`2x(x-2) / (x-3)(x-2)`

The problem is even though I have a hole for my function at x=2, the hole does not occur when y=-2.

My instructions are to

*"Describe what you must do in order for the hole to appear at (2,-2). Find a."*
I suppose that

*a* is a factor (or rather

*(x-a)* or something of that format) which I need to apply to my function to create a hole at (2,-2), but I have never done this before and I've tried just plowing through math to figure this out, but I have no method!

Thanks

*a lot* if you can help.

-Mike