To determine which relations represent functions, you need to check if each relation assigns exactly one output for each input. A relation is a function if no input is associated with more than one output.
To analyze each relation, you would typically look for the following:
- Unique Inputs: Each input (or x-value) must correspond to exactly one output (or y-value).
- Vertical Line Test: If you can draw a vertical line through the graph of the relation and it intersects the graph at more than one point, then the relation is not a function.
Since you provided a list of relations (however, the details of each relation are missing), I can't assess them directly. If you provide the specifics of Relations 1 through 6, I would be able to help you determine which ones are functions.