1. The problem asks to determine if each table of values represents a function. 2. A relation is a function if every input $x$ has exactly one output $y$. 3. Check each table: **Table 1:** - Inputs: $-12, -10, 0, 5, 8, 15$ - All inputs are unique, so each $x$ has one $y$. - Therefore, Table 1 represents a function. **Table 2:** - Inputs: $9, -20, -6, -17, 9, 11$ - Input $9$ appears twice with different outputs $-18$ and $17$. - Therefore, Table 2 does not represent a function. **Table 3:** - Inputs: $4, 1, 4, 16, 10, -19$ - Input $4$ appears twice with outputs $-20$ and $-14$. - Therefore, Table 3 does not represent a function. **Table 4:** - Inputs: $-15, -11, -14, -9, -1, -5$ - All inputs are unique. - Therefore, Table 4 represents a function. **Table 5:** - Inputs: $2, 3, 6, 7, 18, 20$ - All inputs are unique. - Therefore, Table 5 represents a function. **Table 6:** - Inputs: $-13, -3, 12, 17, -3, 0$ - Input $-3$ appears twice with outputs $7$ and $14$. - Therefore, Table 6 does not represent a function. **Final answers:** - Tables 1, 4, and 5 represent functions. - Tables 2, 3, and 6 do not represent functions.