We can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
What Makes a Relation a Function?
A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.
Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.
For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.
Therefore, we can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
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