1. Domain: All real numbers. Range: [0, ∞). Graph consists of two rays: y = -x for x ≤ 2 (starting at (2,-2) and extending left/down) and y = x for x > 2 (starting just right of (2,2) and extending right/up).
2. Domain: All real numbers except x = -3. Range: {2, -5}. Graph consists of two horizontal rays: y = 2 for x > -3 (starting just right of x=-3) and y = -5 for x < -3 (starting just left of x=-3).
3. Domain: All real numbers. Range: {-1, 2}. Graph consists of two horizontal rays: y = -1 for x ≤ -2 (starting at (-2,-1) and extending left) and y = 2 for x > -2 (starting just right of x=-2).
4. Domain: All real numbers. Range: {-1} ∪ (-1,1) ∪ (1,∞). Graph consists of three parts: horizontal line y = -1 for x ≤ -1, open segment from (-1,-1) to (1,1) excluding endpoints, and ray y = x for x > 1 starting just right of (1,1).
5. Domain: All real numbers. Range: (-∞, 2] ∪ (3, ∞). Graph consists of two lines: y = -x + 2 for x ≤ 0 (ending at (0,2)) and y = (1/2)x + 3 for x > 0 (starting just right of (0,3)).
6. Domain: All real numbers. Range: (-∞, 4] ∪ (5, ∞). Graph consists of two lines: y = x + 2 for x ≤ 2 (ending at (2,4)) and y = -(1/2)x + 4 for x > 2 (starting just right of (2,3)).
Parent Tip: Review the logic above to help your child master the concept of piecewise functions worksheet.
