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Let's analyze the piecewise function based on the graph provided in your image.

The graph shows three horizontal line segments at different values of \( y \), and we need to describe the function \( f(x) \) in piecewise form. Here's the breakdown:

1. The first segment is at \( y = 3 \) for values of \( x \) from \( -5 \) to \( -3 \) (inclusive), as we can see the closed dot at \( (-3, 3) \).
2. The second segment is at \( y = -4 \) for values of \( x \) from \( 0 \) to \( 2 \) (inclusive), with a closed dot at \( (2, -4) \).
3. The third segment is at \( y = -5 \) for values of \( x \) from \( 4 \) to \( 6 \), and both ends of the segment are closed dots.

Now, you need to fill

Complete the description of the piecewise function based on the graph provided.

This problem asks you to describe a piecewise function from a graph, focusing on different segments defined by the function's domain. Explore key concepts such as domain and range, and graph interpretation. Ideal for students in Grades 9-11.

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