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