functions #

Shows a function f: A -> B as a mapping from each domain element x in set A to exactly one codomain element y in set B. The animation steps through inputs x1..x5, draws the arrow to its assigned output f(x), and highlights the Range as the subset of B that actually gets hit (some outputs repeat to emphasize Range ⊆ B).

canvasclick to interact

⏮◀◀▶▶STEP0.25x1xZOOM

t=0s

practical uses #

01.Reasoning about input/output behavior in programs (functions, APIs)
02.Checking whether a relation is a valid function (each input maps to one output)
03.Understanding domain/range constraints in math models and data pipelines

technical notes #

Pure Canvas2D. Uses a 4-second cycle; active domain element is highlighted while its arrow is drawn progressively along a blocky polyline. Range elements in B glow when they have been produced. Responsive scaling via scale = min(w,h)/240 with 4px snapping for a retro grid aesthetic.

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