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Further Investigation of Area Above and Below the x-axis

Further Investigation of Area Above and Below the x-axis
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2017-03-06 05:35
FunctionCoordinate GeometryIntegral
This example demonstrates how to analyze the area above and below the x-axis using function graphs. Key mathematical concepts include functions, integrals, and intervals. Using GeoGebra commands such as Integral and Intersect, users can dynamically adjust function parameters to observe area changes. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Text("Correct") → text1
  2. Textfield(text4) → InputBox1
  3. If(Textfield[] ≟ "", 0, 1) → a
  4. Text("Incorrect") → text2
  5. Textfield(f) → InputBox2
  6. Integral(fneg, A_1, B_1) → Intneg
  7. Integral(fpos, A_1, B_1) → Intpos
  8. Integral(f, A_1, B_1) → IntAB
  9. Intersect(g, xAxis) → A
  10. Intersect(h, xAxis) → B
  11. Text(AreaAB) → text3
  12. If(text4 ≟ "", 0, If[text4 ≟ text3, 1, 2]) → b
  13. Text("Use integration to calculate the pink shaded area") → text6
  14. Text("Type your answer in this box (2dp)") → text5
  15. Text("Change the function and the value for A and B") → text7
  16. Text("once you have completed this one!") → text8