To determine if a relation is a function, we need to check if each input (x-coordinate) is associated with exactly one output (y-coordinate). In this case, we examine the provided ordered pairs:
- (0, 3)
- (1, –3)
- (0, 12)
- (1, 12)
Let's look specifically at the x-coordinates:
- For x = 0, we have two outputs: 3 and 12.
- For x = 1, we also have two outputs: –3 and 12.
Since both x = 0 and x = 1 are associated with multiple y-values, the relation does not satisfy the definition of a function.
Thus, this relation is not a function.