Question

The set of ordered pairs shown is missing an x-value

{(2,5), (4,3), (7, 5), (x, 4)}

Which x-value would make the relation a function?

Question 5 options:

x=4


x=2


x=7


x=5

Answer 1

To determine which x-value would make the relation a function, we need to ensure that no two ordered pairs have the same x-value. In the given set of ordered pairs:

{(2,5), (4,3), (7, 5), (x, 4)}

The current x-values are 2, 4, and 7. To keep the relation a function, the x-value we choose for \( x \) must not be 2, 4, or 7.

Now let's analyze the options:

- **x=4**: This would create a duplicate x-value (4), which means it would no longer be a function.
- **x=2**: This would create a duplicate x-value (2), which means it would no longer be a function.
- **x=7**: This would create a duplicate x-value (7), which means it would no longer be a function.
- **x=5**: This does not duplicate any existing x-values (2, 4, or 7), so it would still maintain the property of being a function.

Therefore, the x-value that would make the relation a function is **x=5**.