Square and Sine Function
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Continuity and Differentiability
This example demonstrates the relationship between a square and a sine function. Key mathematical concepts include the properties of a square and the periodicity of trigonometric functions. By constructing a square and plotting a sine function, the relationship between the side length of the square and the sine value is illustrated. The commands used are f and g. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
f(x) = If[x ≤ 0, cos(x)]g(x) = If[x > 0, 1 - x^(2)]