Let's analyze the graph and the problem provided:

1. For $f(9)$:

   • From the graph, look at the point where $x = 9$. The open circle at $x = 9$ indicates that the function is undefined at that point. Therefore, $f(9) = \text{undefined}$.

2. For $\lim_{x \to 0} f(x)$:

   • To find the limit as $x$ approaches 0, observe the behavior of the function near $x = 0$. From the graph, both sides of $x = 0$ approach the value $3$, so $\lim_{x \to 0} f(x) = 3$.

Here are the answers based on the graph:

• $f(9) = \text{undefined}$
• $\lim_{x \to 0} f(x) = 3$

Let me know if you'd like more details or further clarification!

Related Questions:

1. How can you identify limits from graphs?
2. What does it mean when a limit "does not exist" (DNE)?
3. What is the significance of open vs. closed circles on a graph?
4. How do you interpret one-sided limits?
5. What role does continuity play in evaluating limits?

Tip: Always check whether a function is defined at a specific point by looking for an open or closed circle on the graph!