In order for a relation to be classified as a function, each input (or x-value) must be associated with exactly one output (or y-value). This means that no two pairs in the relation can share the same x-value.
In your relation:
- (2, 8)
- (4, 5)
- (7, 3)
- (9, 0)
- (?, 6)
We need to determine what value can be placed in the position of the missing x-value (?). For the relation to remain a function, this missing x-value must not overlap with any existing x-values (2, 4, 7, 9).
Since the existing x-values are 2, 4, 7, and 9, the value that cannot be used for the missing x-value is any of these: 2, 4, 7, or 9.
So, the values that are not allowed to be in the missing x-value are:
- 2
- 4
- 7
- 9
Any other value not present among these can be used as the missing x-value while keeping the relation as a function.