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To solve for \( f(6) \), we need to determine the value of the function \( f(x) \) at \( x = 6 \) using the graph provided.

Looking at the graph:
- The function \( y = f(x) \) is a piecewise linear graph, with straight-line segments connecting different points on the coordinate plane.
- From the graph, we observe that at \( x = 6 \), the value of \( y \) is 0 (since the graph touches the x-axis at this point).

Thus, \( f(6) = 0 \).

Would you like further details or explanations? Here are some follow-up questions that might help deepen your understanding:

1. What is the general behavior of the graph for different intervals of \( x \)?
2. How can we determine the slope of the line segments in the graph?
3. What does it mean when the graph intersects the x-axis?
4. Can you describe how the function behaves as \( x \) approaches negative or positive infinity?
5. How would you find \( f(x) \) for any other specific value of \( x \)?

**Tip**: When analyzing a graph, always pay attention to key points such as where the graph crosses the axes, and check for any changes in slope or direction.

Learn how to determine the value of a function at a specific point by interpreting a graph. This problem involves evaluating f(6) using a piecewise linear function, making it ideal for students in Grades 7-10.

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