{ (0, -4) (2, 7) (4, -4) (1, 9) (3, 7)}

does the relationship show a function'

To determine if the relationship shown is a function, we need to check if each input value (x-coordinate) is paired with a unique output value (y-coordinate).

Given the coordinates: (0, -4), (2, 7), (4, -4), (1, 9), (3, 7)

We can see that each input value is paired with a unique output value. Therefore, the relationship shown does form a function.