Types of Functions: Interactive Overview from Linear to Trigonometric

① This GeoGebra example presents an interactive gallery of major function types—linear, quadratic, polynomial, power, exponential, logarithmic, piecewise, step, and trigonometric—allowing learners to visually compare their distinct graphs and behaviors. ② Core mathematical concepts include function definition, graphical representation, classification of functions (linear, quadratic, polynomial, power, exponential, logarithmic, piecewise, step, trigonometric), and the effects of geometric transformations (rotation, reflection) on function graphs. ③ Construction highlights: from the summary, it uses a Textfield for user input/selection of functions, along with Rotate and Mirror commands to transform the graphs, plus multiple text objects (text1–text5) and sliders (α, h, t) for dynamic parameter adjustment, enabling interactive exploration. ④ Suitable for middle and high school mathematics (function units) as well as pre-calculus review, helping students build a holistic understanding of function families and deepen comprehension of graph transformations through hands-on manipulation.