For the graph we can identify:
domain: 1 < x < 3
range: y > -1
How to identify the domain and range?
The domain is the set of possible inputs, and the range is the set of possible outputs.
To identify the domain we need to look at the horizontal axis.
First we can see an asymptote at x = 1 (so x = 1 is not in the domain), and then we can see an open circle at x = 3 (an open circle means that the value is not in the domain)
So we have:
domain: 1 < x < 3
For the range we need to look at the vertical axis.
The lowest value is x = -1
And we don't have a largest value, the graph keeps going up, so the range is:
range: y > -1