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Extreme Behavior

Extreme Behavior
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2015-11-17 10:49
FunctionTrigonometryGeometric ConstructionGraphing
In collections Algebra II|CH7: Polynomial Functions
This example demonstrates the extreme behavior of function graphs, such as asymptotes, maxima, and minima. It involves core mathematical concepts like linear regression, tangent functions, and cosine functions. The construction uses GeoGebra commands like Point, OrthogonalLine, Intersect, and Segment. Suitable for high school and above students to learn function properties and geometric relationships.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. OrthogonalLine(A, xAxis) → a
  3. Intersect(f, a, 1) → B
  4. OrthogonalLine(B, a) → b
  5. Intersect(b, yAxis) → C
  6. Segment(A, B) → c
  7. Segment(B, C) → d