GeoGebra for Statistical Questions: Modeling with Function Graphs and Piecewise

This GeoGebra example demonstrates how to explore statistical questions by translating a real problem statement into graphical and computational relationships. It emphasizes the modeling mindset in probability & statistics, where key relationships are represented as function graphs. The core math ideas include reading function behavior from graphs, understanding piecewise functions (piecewise rules), and recognizing how parabolic (quadratic) shapes can appear as functional components within a statistical context. Construction-wise, the provided construction summary shows extensive use of text objects (text1–text12) to present problem conditions, interpretations, and labeling, while an additional object (a) is used to hold the main modeled relationship or graphical element. The example is well suited for middle/high school instruction and for classroom demonstrations that connect statistical reasoning with function graphing and piecewise modeling.