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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.

The graph of f is shown below. For which values of x is f(x) zero?

Learn how to find the zeros of a function by analyzing the graph. This problem involves understanding where the graph crosses the x-axis, representing the function's roots or solutions for f(x) = 0. Suitable for students in Grades 9-12.

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