Exploring Domain Restriction of Cosine Function

Exploring Domain Restriction of Cosine Function
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2020-07-06 02:04
This example restricts the domain of the parent cosine function to construct its inverse. It demonstrates how to adjust parameters to observe changes in the function graph. GeoGebra commands used include Mirror, Textfield, and Point. Suitable for high school math education, aiding students in understanding the relationship between a function's domain and range.

GeoGebra Commands & Parameters

  1. Mirror(f, g) → f_1
  2. Textfield(f) → InputBox1
  3. Mirror(h, g) → h_1
  4. Textfield(a) → InputBox2
  5. Textfield(b) → InputBox3
  6. Mirror(f, g) → f_2
  7. Point(p) → A