Each input (x-coordinate) must correspond to a single output (y-coordinate) for the relation to be considered a function. The ordered pairs (3,8) and (3,3), when seen in the context of the given relation, have different y-coordinates (3,3) but the same x-coordinate (3). Therefore, in order for the relation to be a function, we would need to remove one of these ordered pairs.

Question

Each input (x-coordinate) must correspond to a single output (y-coordinate) for the relation to be considered a function. The ordered pairs (3,8) and (3,3), when seen in the context of the given relation, have different y-coordinates (3,3) but the same x-coordinate (3). Therefore, in order for the relation to be a function, we would need to remove one of these ordered pairs.

The connection becomes {(1,5)(3,3)(9,6)(7,7)} if the ordered pair (3,8) is removed. As a result, every input now has a single matching output, meeting the criteria for a function. Therefore, we can turn the relation into a function by eliminating the ordered pair (3,8).

Answer 1

Yes, you are correct. By removing the ordered pair (3,8), the relation becomes a function because each x-coordinate now corresponds to only one y-coordinate.