Dynamic Demonstration of Three Lists of Powers
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① This example shows three dynamic lists of power functions, illustrating how their graphs and numeric values change as parameters vary. ② Core mathematical concepts include exponentiation, power functions, linear equations, function graphing, sequences, and modular arithmetic (congruence). ③ Construction highlights: a Textfield for user input, sliders d, n1, a, s, k controlling exponents and coefficients; extensive auto‑generated point objects A1…A21 and C2…C15 built via Sequence/List commands to produce the three power‑value lists, which are then plotted as discrete points and continuous curves. ④ Suitable for high‑school lessons on functions and equations, college‑prep review of power functions, and as a starter GeoGebra project for slider animation and list manipulation.
GeoGebra Commands & Parameters
Textfield(a) → InputBox1Textfield(b) → InputBox2Textfield(c) → InputBox3Textfield(n1) → InputBox4Textfield(d) → InputBox5
AI Drawing Prompt Reference
Create a dynamic demonstration showing three lists of power functions, where the graphs and numeric values update as the base and exponent parameters change. Include five text input fields for setting the coefficients and exponents, and five sliders to adjust them interactively. The visualization should display each power list as both discrete points and smooth curves, allowing users to explore how variations in the parameters affect the shape and values of the functions. This setup is ideal for teaching exponentiation, power functions, sequences, and graphing concepts.
The prompt above was compiled from the original drawing commands and is for reference only.