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To solve for all real solutions of \( f(x) = 0 \), we need to identify the points where the graph crosses the x-axis. These points represent the values of \( x \) for which \( f(x) = 0 \).

From the graph, it looks like the function crosses the x-axis at the following points (approximately):

- \( x = -6 \)
- \( x = -3 \)
- \( x = 0 \)
- \( x = 4 \)

So, the real solutions to \( f(x) = 0 \) are:
\[ x = -6, -3, 0, 4 \]

Would you like more details on how I identified these solutions, or do you have any other questions?

Here are 5 related questions for further exploration:
1. What does it mean for a function to have real solutions?
2. How can you algebraically find the real solutions of a polynomial function?
3. What are the characteristics of polynomial graphs in relation to their roots?
4. How does the degree of the function affect the number of real solutions?
5. Can a polynomial have complex solutions even if none appear on the graph?

**Tip**: When looking at graphs, always check the x-axis intersections carefully as they represent the real roots or solutions of the equation.

What are all of the real solutions of f(x) = 0?

Learn how to find the real solutions of f(x) = 0 by analyzing a polynomial graph. This problem involves identifying the x-intercepts of the function, which represent the real roots. Suitable for students in Grades 9-12.

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