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The graph you've provided shows the function \( f(x) \) intersecting the x-axis at four points. These points are where \( f(x) = 0 \) and represent the real solutions of the equation.

From the graph, we can visually estimate these points as:
- \( x \approx -6.5 \)
- \( x \approx -1.5 \)
- \( x \approx 1 \)
- \( x \approx 7.5 \)

These values are approximate and depend on the accuracy of the graph's scale and plotting.

Would you like to know more about how these solutions are derived or any other related concepts? Here are a few questions that might interest you:

1. How do you determine the exact roots of a polynomial function from its graph?
2. What methods can be used to find the roots of a function algebraically?
3. How can the number of real roots be predicted by looking at the degree of a polynomial?
4. What is the importance of finding the roots of a function in real-world applications?
5. How can technology be used to enhance the accuracy of finding roots graphically?

**Tip:** When estimating roots from a graph, using graphing software or a graphing calculator can provide more precise values and even functionalities like zooming in on the x-axis to better identify where the function crosses the x-axis.

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Learn how to find all real solutions of f(x) = 0 by analyzing a graph. This problem involves understanding the concept of roots of functions and applying graphical methods to determine where the function intersects the x-axis. Suitable for high school students in Grades 9-12.

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