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Even Functions

Even Functions
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2022-07-24 16:20
FunctionTrigonometryCoordinate Geometry
This example demonstrates the properties of even functions, where f(x) = f(-x) for all x. By adjusting parameters, you can observe the symmetry of the even function graph. The construction summary uses Segment, Vector, Midpoint, etc., to show how to draw even function graphs using GeoGebra. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Segment(C, A) → g
  2. Segment(E, D) → i
  3. Vector(D, B) → u
  4. Vector(A, B) → v
  5. Midpoint(F, A) → G
  6. Midpoint(D, F) → H
  7. Midpoint(F, H) → I
  8. Midpoint(G, F) → J

AI Drawing Prompt Reference

Draw a graph demonstrating the properties of even functions, including a line segment connecting two points and two vectors originating from one point to the other two, with midpoints shown: one connecting the ends of the segment, another connecting one end of the segment to the start of a vector, and finally connecting the midpoint of the segment to the midpoint of the vector to illustrate symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.