To determine if the table represents a function, we need to check if each input value (x) corresponds to exactly one output value (y). In other words, for each x value, there should be a unique y value.
Looking at the provided table:
- For \( x = 5 \), there are two corresponding y values: 1 and 7.
- For \( x = -1 \), the y value is 0.
- For \( x = 6 \), the y value is 8.
Since the input \( x = 5 \) has two different output values (1 and 7), this violates the definition of a function.
Therefore, this table does not represent a function.