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Continuity Exercise: Tangent and Function Graph

Continuity Exercise: Tangent and Function Graph
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2014-10-14 18:53
TriangleFunctionGeometric Construction
This example demonstrates continuity in function graphs by constructing tangents. Key mathematical concepts include continuity, tangent equations, and function graphs. Construction involves GeoGebra commands Function with objects f, g, h, p. Suitable for high school students learning function and geometry integration.

GeoGebra Commands & Parameters

  1. Function(1 / x, -1000, -1) → f
  2. Function(0, -1, 0) → g
  3. Function(1, 0, 1) → h
  4. Function(x^(2), 1, 1000) → p

AI Drawing Prompt Reference

Draw a continuous function graph with an asymptote below the x-axis, a horizontal line, and a parabola opening upwards. First, draw an asymptote below the x-axis from -1000 to -1; then draw a horizontal line on the y-axis; finally, draw a parabola opening upwards from 1 to 1000.
The prompt above was compiled from the original drawing commands and is for reference only.