Root Function Singularities Demo

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2017-10-29 01:45

This example demonstrates the singularities of root functions and their graphical representation. It involves core mathematical concepts like complex numbers, trigonometric functions, function graphs, and derivatives. Constructed using GeoGebra commands such as Point, Vector, Textfield, Segment, Line, Derivative, and Intersect, it is suitable for high school and above students to understand function properties and geometric interpretations.

GeoGebra Commands & Parameters

Point(yAxis) → A
Vector(A, B) → f_v
Textfield(f) → inputBox1
Vector(x_1, y_1) → v
Segment(f_x, F) → c
Segment(E, F) → d
Segment(A, x_1) → e
Segment(B, y_1) → g
Segment(B, y_1) → h_1
Line(x_1, y_1) → i
Line(A, B) → k
Textfield(f) → inputBox2
Derivative(f) → f'
Vector(B, C) → u
Line(C, D) → b
Intersect(b, k) → Focus
Line(E, f_x) → m
Line(x_1, y_1) → n
Line(A, B) → p
Intersect(n, p) → G