To determine whether a relation is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).
In the given relation:
- For x = 2, the corresponding y-value is 4.
- For x = -3, the corresponding y-value is 5.
- For x = 8, the corresponding y-value is 0.
- For x = 2 (again), the corresponding y-value is 4 (which is the same y-value as the previous entry for x = 2).
Even though the x value of 2 appears twice, it is associated with the same y-value of 4 in both instances.
Thus, each x-value has a unique y-value. Therefore, despite the repetition of the pair (2, 4), the relation does not have any x-value that maps to two different y-values.
Conclusively, this relation is a function.
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