Answer
The graph is attached.
Work Step by Step
First, we see that this problem is in the form $y=\frac{a}{x-h}+k$. Thus, we use the shape of $\frac{1}{x}$ and the value of $a$ to create the graph. $h$ and $k$ determine how the graph is shifted.
Looking at the asymptotes, we see that the domain is all real numbers except -7 and the range is all real numbers except -5.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/1a81ef3d-3ff8-476b-9fb5-be8f49a724f8/steps_image/small_1562273180.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000705Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=6b813cc0a5ab000a94e64a8916d97722a5c05855d9460684824a9e7bfc7fe0ac)