The only relation that is a function is figure 3.
How to Determine a Relation that is a Function?
For any given relation that represents a function, each of the x-values (input) are assigned to exactly one y-value (output value). This means that, an x-value cannot be related to two different y-value for the relation to be considered a function.
Also, for a relation that is function, two different x-values (input values) can be related to the same y-value (output values).
In figure 1, x-value of 3, corresponds or relates to two different y-values, -1 and 3. Therefore, the relation in figure 1 is not a function.
In figure 2, each x-value has exactly one y-value it corresponds or relates to. Therefore, the relation in figure 2 is a function.
In figure 3, there are x-values which have more than y-values they each correspond or relate to. Therefore, the relation in figure 3 is not a function.
In summary, the only relation that is a function is figure 3.
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