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Understand the core definition of functions, bijective mappings for inverse existence, and the geometric y=x line reflection.
Understand unique mapping from domain inputs to codomain outputs.
Visualize why swapping input and output produces a mirror reflection across the line y=x.
Because inputs 2 and -2 both map to 4 (not one-to-one). Restricting the domain to x ≥ 0 allows an inverse function (y = √x).
Interactive 118 chemical elements with real-time temperature state simulation, Bohr orbitals, and chemistry quiz.
Interactive multiplication tables from 1x1 to 19x19, custom N-dan generator, dot area model, and mental math quiz.
Interactive Unit Circle visualizer, sine/cosine/tangent wave graphs, triangle solver, and speed math quiz.
Interactive 2D matrix transformation visualizer, determinant, eigenvalues, inverse matrix, vector spaces, and linear equation solver.