Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6c9a9e92-c75d-4e6f-bc7f-785dce68a70e/result_image/1596188254.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000551Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=fc656cb506712c90557f5ce0bdd63b1f2706fad0d3c5a6a82c554f49e4fecde6)
Work Step by Step
Given: $\frac{4}{x-2}$
From the form of the function, we can see that there is a vertical asymptote at $x = 2$ and a horizontal asymptote at $y = 0$. Sketch the asymptotes.
Make a list of values:
$x=-6\rightarrow y=-\frac{1}{2}$
$x=-2 \rightarrow y=-1$
$x=0 \rightarrow y=-2$
$x=4 \rightarrow y=2$
$x=6 \rightarrow y=1$