The graph you provided represents a function $y = f(x)$, and the question asks for the real solutions of $f(x) = 0$. To find the solutions, we need to identify the points where the graph crosses the x-axis, as these are the points where $f(x) = 0$.

From the graph, the x-intercepts (where the graph crosses the x-axis) are approximately:

• $x = -3$
• $x = 1$
• $x = 5$

Thus, the real solutions to $f(x) = 0$ are: $x = -3, \quad x = 1, \quad x = 5$

Would you like a deeper explanation or have any questions?

Here are 5 related questions to further explore the topic:

1. What is the significance of the points where the graph crosses the x-axis?
2. How can you algebraically solve for $f(x) = 0$ if you have the equation for $f(x)$?
3. What is the difference between real and complex solutions for equations like $f(x) = 0$?
4. How would you determine the multiplicity of a root by looking at the graph?
5. Can a polynomial function of degree 3 (like this graph) have more or fewer than 3 real solutions?

Tip: The x-intercepts of a function correspond to its real roots (solutions), while the behavior of the graph at these points can help you determine if the root has even or odd multiplicity.