Question

Question
Does the relationship show a function?(4 points)
True False
{ (0, -4) (2, 7) (4, -4) (1, 9) (3, 7)}











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Answer 1

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.**