Look at this table:

Question

x│y
16│–7
8│17
2│–9

Is this relation a function?

Answer 1

To determine if this relation is a function, we need to check if each input (x-value) corresponds to exactly one output (y-value).

Looking at the x-values, we can see that each input is unique (16, 8, and 2) which means there are no repeated x-values.

Now, let's inspect the y-values. We see that for the x-value 16, the corresponding y-value is -7. For the x-value 8, the corresponding y-value is 17. Lastly, for the x-value 2, the corresponding y-value is -9.

Since each input (x-value) has a unique output (y-value), we can conclude that this relation is a function.