Question

What are the asymptotes of `y=3//(x-1)-2` and how do you graph the function?

Answer 1

Below

Explanation:

`y=3/(x-1)-2` can be rewritten as:

`y=-2+3/(x-1)`

Domain: all real x except `x=1`
Range: all real y except `y=-2`

The domain and range are both found by letting y approach 0 and x approach 0 respectively.

First, you would draw in your dotted lines with the equation `x=1` and `y=-2`. Then you would find whether or not the ends of your graph approaches the top or bottom of the asmpytotes.

graph{3/(x-1)-2 [-10, 10, -5, 5]}