**Description:** The problem displays a graph of a piecewise function and requires the use of interval notation to complete its description. The graph consists of three horizontal line segments: 1. **First Segment**: - Horizontal line at \( y = 3 \). - Defined for the interval \([-6, -2]\]. - Includes a closed dot at \( x = -6 \) and an open dot at \( x = -2 \). 2. **Second Segment**: - Horizontal line at \( y = -5 \). - Defined for the interval \((-2, 2]\]. - Includes an open dot at \( x = -2 \) and a closed dot at \( x = 2 \). 3. **Third Segment**: - Horizontal line at \( y = 4 \). - Defined for the interval \((2, 7)\). - Includes an open dot at \( x = 2 \) and an open dot at \( x = 7 \). **Piecewise Function Description:** \[ f(x) = \begin{cases} 3 & \text{if } x \in [-6, -2] \\ -5 & \text{if } x \in (-2, 2] \\ 4 & \text{if } x \in (2, 7) \end{cases} \] **Instructions:** - Complete the provided intervals in the function description. - Use the given intervals to fully describe the behavior of the function. - Ensure correct interval notation, with brackets \([]\) indicating closed intervals (inclusive) and parentheses \(()\) indicating open intervals (exclusive).

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