1. The problem asks to find the limit of the function $f(x)$ as $x$ approaches $-3$. 2. The limit $\lim_{x \to -3} f(x)$ means we want to find the value that $f(x)$ approaches as $x$ gets closer and closer to $-3$ from both sides (left and right). 3. From the graph description, at $x = -3$, there is an open circle at the point $(-3, 1)$, which means $f(-3)$ is not defined or not equal to 1. 4. To find the limit, we look at the values of $f(x)$ as $x$ approaches $-3$ from the left and right. 5. The graph rises to about $(-2, 1.5)$ after $-3$, so as $x$ approaches $-3$ from the right, $f(x)$ approaches 1. 6. Since the graph is continuous and approaching the same value 1 from both sides near $x = -3$, the limit exists and equals 1. 7. Therefore, $$\lim_{x \to -3} f(x) = 1.$$