Answer:
- domain: {-1, 2, 3}
- range: {-3, 4, 5}
- mapping diagram is attached
- NOT a function
Explanation:
You want to know the domain and range of the relation {(-1, 5). (3, 4), (2, 5), (-1, -3)}, and whether it is a function.
Domain
The domain is the list of x-values in the (x, y) pairs. We conventionally eliminate duplicates and put them in order.
{ -1, 2, 3} . . . . domain
Range
The range is the list of y-values in the (x, y) pairs. Again, duplicates are eliminated, and they are put in order.
{-3, 4, 5} . . . . range
Mapping diagram
The mapping diagram is a visual aid that has domain values on the left, range values on the right, and arrows showing how the domain values map to the range values. Such a diagram is attached.
Function
If there are multiple arrow tails extending from any given domain value, the relation is not a function. This relation maps -1 to multiple values, so it is not a function.