1. The problem asks if the given table is appropriate for approximating the limit $$\lim_{x \to -6} h(x)$$. 2. To approximate a limit at $$x = -6$$, we need values of $$h(x)$$ for $$x$$ approaching $$-6$$ from both sides (left and right). 3. The table shows $$x$$ values: $$-9, -8, -7, -6, -5, -4, -3$$, which approach $$-6$$ from the left (values less than $$-6$$) and from the right (values greater than $$-6$$). 4. Specifically, values near $$-6$$ are $$-7$$ and $$-5$$, which are on both sides of $$-6$$. 5. This means the table provides $$h(x)$$ values approaching $$-6$$ from both directions, which is necessary for approximating the limit. 6. Therefore, the table is appropriate for approximating $$\lim_{x \to -6} h(x)$$. Final answer: A The table is appropriate.