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Average Rate of Change of a Function Quiz by Tim Brzezinski

Average Rate of Change of a Function Quiz by Tim Brzezinski
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2017-04-04 10:34
FunctionSequenceCalculus
This example demonstrates calculating the average rate of change of a function using table values. Key math concepts include functions, average rate of change, and slope. GeoGebra commands used include Random, Sequence, RandomElement, etc. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Random(1, 3) → n
  2. Sequence(i, i, -2, 2, 0.1) → alist
  3. RandomElement(alist) → a
  4. RandomElement(blist) → b
  5. Sequence(i, i, -2, 1.8, 0.1) → clist
  6. RandomElement(clist) → c
  7. RandomElement(mlist) → m
  8. RandomElement(clist) → start
  9. Sequence(i, i, start + 0.2, 2, 0.1) → endlist
  10. RandomElement(endlist) → end
  11. Slope(f) → ans1
  12. FractionText(ans1) → text1
  13. FractionText(ans2) → text2
  14. FractionText(ans3) → text3
  15. Polygon(A, G, B) → poly1, b_1, a_1, g_1
  16. Segment(B, G) → i
  17. Segment(G, A) → j
  18. Polygon(C, H, D) → poly2, d, c_1, h_1
  19. Segment(C, H) → k
  20. Segment(H, D) → l
  21. Polygon(E, I, F) → poly3, f_1, e, i_1
  22. Segment(F, I) → p
  23. Segment(I, E) → q
  24. Segment(F, E) → r
  25. Segment(C, D) → s
  26. Slope(s) → m_1
  27. Slope(r) → m_2
  28. Slope(f) → m_3
  29. Textfield(o) → InputBox1
  30. Midpoint(C, D) → J
  31. Midpoint(A, B) → K
  32. Midpoint(E, F) → L

AI Drawing Prompt Reference

Draw a function graph with points A and B, and a line segment AB with slope m. Then draw points C and D, and a line segment CD. Next, draw points E and F, and a line segment EF. Calculate the slopes of line segments AB, EF, and CD, and label them as m1, m2, and m3 respectively. Finally, draw the midpoints J, K, and L of segments AB, CD, and EF.
The prompt above was compiled from the original drawing commands and is for reference only.