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Writing Inverse Functions: Practice

Writing Inverse Functions: Practice
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2017-04-27 01:21
FunctionCoordinate GeometryGraphing
This example demonstrates how to generate inverse function questions and provide feedback. Key math concepts include functions and their inverses. GeoGebra commands such as Random, Sequence, and Union are used in construction. Suitable for high school math education or learning inverse function concepts.

GeoGebra Commands & Parameters

  1. Random(-10, -1) → a
  2. Sequence(i, i, 1, 10, 1) → list2
  3. Sequence(i, i, -10, -1, 1) → list1
  4. Union(list1, list2) → list3
  5. RandomElement(list3) → l
  6. RandomElement(list3) → k
  7. Random(-10, 10) → e
  8. Random(1, 10) → b
  9. Random(-10, -1) → c
  10. Random(1, 10) → d
  11. FractionText(a / b) → text1
  12. FractionText(k / l) → text3
  13. FractionText(Slope[h]) → text4
  14. FractionText(h(0)) → text5
  15. Textfield(j) → InputBox1

AI Drawing Prompt Reference

Draw a function and its inverse function graph. First, generate a random slope a and a random y-intercept e to define the function h(x) = ax + e. Then, create two lists containing integers from -10 to -1 and 1 to 10, and merge them into a list list3. Randomly select two different numbers from list3 as the slope k and y-intercept c of function h. Construct the function h(x) = kx + c and calculate its slope and y-intercept. Finally, draw the graph of function h and its inverse, and display the fractional form of the slope and y-intercept.
The prompt above was compiled from the original drawing commands and is for reference only.