Few things we need to keep in mind when finding the domain and range of a graph:
Relation - any set of ordered pairs (example: {(1, b), (3, e), (4, x)}
Domain - The first components of the ordered pair is the domain (example: 1, 3, and 4 are the domain)
Range - The set of all second components of the ordered pair is called the range (example: b, e, and x are the range)
For the graph we will use the example:
To find the domain we look at the set of all X VALUES
Which in this case the line starts at -3 and ends at 4, but since -3 is shown as a open dot and the 4 as a closed dot we will show the domain as follow....
( -3, 4]
( Representing the open dot
] Representing the closed dot
Now to find the range we look at the set of all Y VALUES we look at the line on the Y axis
Starts at -2 and ends at 1, so we will show the range as followed...
( -2, 1]
( Representing the open dot
] Representing the closed dot
Domain = (-3,4]
Range = (-2,1]