1. The problem asks: Is the given relation a function? 2. A relation is a function if every input (x-value) corresponds to exactly one output (y-value). 3. The table shows the pairs: $$ (4,0), (5,16), (5,-19), (5,6), (7,6), (2,-12) $$ 4. Notice that the input $x=5$ corresponds to three different outputs: $16$, $-19$, and $6$. 5. Since one input has multiple outputs, this relation is not a function. 6. Therefore, the answer is **no**, this relation is not a function.