Function Notation to Describe Rules (Part 1): Linear Modeling & Random Experimen

This example demonstrates how to use function notation to express rules as computable functions, with a visual setup that connects linear-function relationships to outcomes described under random experiments. The main mathematical ideas include function notation (input–output correspondence), linear functions and their graph characteristics, and formalizing rules in the context of random experiments/random variables. Construction-wise, the provided GeoGebra object summary (A2, B1, C1, D1, E1, F1, G1, H1, A1) indicates that the diagram is built from multiple labeled points and structured graphical elements: the rule is encoded as a function, and the corresponding function values are mapped to points on the coordinate plane (including A1 and the point set A2–H1). This produces an interpretable graphical representation that links “rule → function → graph/observed result,” making the modeling process concrete. Suitable for middle/high-school algebra and function instruction, and also useful for classroom practice on translating verbal rules into mathematical form.