1. The problem asks us to determine which table represents a function. 2. A function is a relation where each input $x$ has exactly one output $y$. 3. We check each table to see if any $x$ value repeats with different $y$ values. 4. Table 1: $x = -3, 0, -2, 8$ all have unique $y$ values. No repeated $x$ with different $y$. So Table 1 is a function. 5. Table 2: $x = -5$ appears twice with $y = -5$ and $y = 5$. Different outputs for the same input means not a function. 6. Table 3: $x = -2$ appears twice with $y = 2$ and $y = 4$. Not a function. 7. Table 4: $x = -4$ appears twice with $y = 2$ and $y = 0$. Not a function. 8. Therefore, only Table 1 represents a function. Final answer: Table 1 represents a function.