1. **Problem Statement:** Evaluate the left-hand limit $\lim_{x \to 3^-} f(x)$ for the given function $f(x)$ based on the graph description. 2. **Understanding Limits:** The left-hand limit $\lim_{x \to 3^-} f(x)$ means we observe the values of $f(x)$ as $x$ approaches 3 from values less than 3. 3. **Analyzing the Graph Description:** The graph description does not explicitly mention the behavior of $f(x)$ near $x=3$. However, it describes behavior near $x=0$ and $x=5$, but not at $x=3$. 4. **Conclusion:** Since the graph description does not provide information about $f(x)$ near $x=3$, we cannot determine the left-hand limit at $x=3$. Therefore, the limit does not exist (DNE). **Final answer:** $$\lim_{x \to 3^-} f(x) = \text{DNE}$$