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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.

Given the graph of a function f(x), determine the value of f(0).

Learn how to find the value of a function at a specific point using its graph. This example shows how to evaluate f(0) by analyzing the graph of a function. Suitable for high school students (Grades 9-12).

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