1. **State the problem:** We need to find the range of a piecewise function whose graph consists of three horizontal pieces with constant y-values -3, 0, and 3. 2. **Recall the definition of range:** The range of a function is the set of all possible output values (y-values) the function can take. 3. **Analyze the graph:** Since the function has three horizontal pieces at y = -3, y = 0, and y = 3, these are the only y-values the function attains. 4. **Write the range:** The range is the set containing these values: $$\{-3, 0, 3\}$$. 5. **Conclusion:** The range is exactly the set of discrete values $$\{-3, 0, 3\}$$, not intervals or unions of intervals. **Final answer:** The range of the piecewise function is $$\boxed{\{-3, 0, 3\}}$$.