Imagine you’re tracking your daily soda intake. For hours 0–3 (sleeping), consumption is zero: y = 0 {0 <= x < 3}. For hours 3–12 (work), it’s a caffeine-fueled nightmare: y = 2x {3 <= x < 12}. After 12, you crash: y = 0.5x + 1 {x >= 12}.
Graph it, share it, and let your friends judge your life choices. Piecewise functions are secretly about storytelling. Your graph tells a story of a person who peaks at noon and naps by dinner.
