1. The problem asks for a reasonable estimate of the limit $$\lim_{x \to -6} f(x)$$ based on the graph of the function $f$. 2. The limit $$\lim_{x \to a} f(x)$$ is the value that $f(x)$ approaches as $x$ gets closer and closer to $a$ from both sides. 3. From the graph, as $x$ approaches $-6$ from the left, the function values approach approximately $-6$. 4. As $x$ approaches $-6$ from the right, the function values also approach approximately $-6$. 5. The filled blue dot at $(x=-6, y=-5.5)$ represents the actual function value $f(-6) = -5.5$, but the limit depends on the behavior of $f(x)$ near $-6$, not necessarily the value at $-6$. 6. Since the function values approach $-6$ from both sides, the limit is $$\lim_{x \to -6} f(x) = -6$$. 7. Therefore, the reasonable estimate for the limit is $-6$, which corresponds to answer choice A.