1. The problem asks for the value of $$\lim_{x\to -2} f(x)$$ based on the given graph of the function $$f$$. 2. To find the limit as $$x$$ approaches $$-2$$, we examine the $$y$$-value that the curve approaches when $$x$$ is near $$-2$$. 3. Observing the graph at $$x = -2$$, the function $$f(x)$$ approaches the value $$-3$$ from both the left and the right sides of $$-2$$. 4. This indicates the limit exists and equals $$-3$$. 5. Therefore, $$\lim_{x\to -2} f(x) = -3$$. Final answer: $$-3$$