Graphs of Rational Functions (Part 1) – IM Algebra 2 Unit 2 Lesson 17

This GeoGebra example demonstrates the key features of rational function graphs, including vertical asymptotes, horizontal asymptotes, and the behavior of the function near these asymptotes. The core mathematical concepts involve domain restrictions, asymptotic behavior, discontinuities, and how the algebraic form of a rational function determines its graphical shape. The construction uses GeoGebra's graphing tools to plot rational functions interactively, allowing students to manipulate parameters via sliders and observe changes in the graph, thereby connecting symbolic expressions to visual representations. This resource is suitable for high school Algebra 2 or precalculus courses, serving both classroom instruction and independent student exploration to deepen understanding of rational functions.