The graph provided shows a curve representing a function $f(x)$. To find where $f(x) = 0$, we need to look at the points where the graph crosses the x-axis. The x-axis represents $f(x) = 0$, so the values of $x$ where this occurs are the solutions.

From the graph:

• The curve crosses the x-axis at approximately $x = -3$, and $x = 1$.

Thus, the values of $x$ for which $f(x) = 0$ are approximately: $x = -3 \quad \text{and} \quad x = 1.$

Would you like more details on how to read these values, or do you have any further questions?

Here are five related questions:

1. How can you solve for $f(x) = 0$ algebraically if the equation of $f(x)$ is known?
2. What does the slope of the graph tell you about the function's behavior around $f(x) = 0$?
3. How would you approximate roots if the graph were not given, but an equation was?
4. What are the types of roots (real, complex) when solving $f(x) = 0$ for various functions?
5. How do changes in the coefficients of polynomial functions affect the locations of their roots?

Tip: Checking the sign of $f(x)$ values around the zero-crossing points can help confirm the correctness of the solution when analyzing graphs.