To determine if the given relationship is a function, we need to check if each input (or x-value) corresponds to exactly one output (or y-value). A relation is a function if no x-value is repeated with a different y-value.
The given set of ordered pairs is:
- (0, -4)
- (2, 7)
- (4, -4)
- (1, 9)
- (3, 7)
Let's list the x-values:
- 0
- 2
- 4
- 1
- 3
Now let's check if any x-values are repeated:
- 0 → -4 (unique)
- 2 → 7 (unique)
- 4 → -4 (unique)
- 1 → 9 (unique)
- 3 → 7 (unique)
Since all x-values are unique, each x-value is associated with exactly one y-value.
Thus, the relationship does show a function.
The answer is True.
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