To determine $f(0)$ from the given graph, we need to find the value of the function $f(x)$ when $x = 0$.

Looking at the graph:

• The point where $x = 0$ is on the y-axis.
• The y-coordinate of this point represents $f(0)$.

From the graph, it appears that when $x = 0$, the y-coordinate (or $f(0)$) is $-4.5$.

Thus, $f(0) = -4.5$.

The correct answer is $-4.5$.

Would you like more details or have any other questions?

Here are five related questions to consider:

1. How do you determine $f(x)$ for other values of $x$ using a graph?
2. What does it mean if the graph intersects the y-axis at a certain point?
3. How can you tell if a function is increasing or decreasing from a graph?
4. What is the significance of an open versus closed circle on a graph?
5. How do you find the zeros (roots) of a function from its graph?

Tip: When analyzing a graph, always check for key points like intercepts, turning points, and the behavior at the boundaries (infinity). These can help you understand the function's overall behavior.