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Average Value Animation

Average Value Animation
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2014-11-20 13:54
FunctionCalculusIntegral
In collections Average Value
This example graphically animates the average y-value of a function. Key mathematical concepts include integration and average value. It uses GeoGebra commands such as Function, Integral, and Segment. Suitable for high school mathematics, particularly calculus and function graphing.

GeoGebra Commands & Parameters

  1. Function((5 / 4 * x), 0, 4) → f
  2. Integral(f, 0, 4) → b
  3. Function(b / 4, 0, 4) → g
  4. Function((a * g(x)) + ((1 - a) * f(x)), 0, 4) → h
  5. Integral(h, 0, 4) → Area
  6. Segment(V, A) → c
  7. Segment(W, B) → d
  8. Segment(Z, C) → e
  9. Segment(A_1, D) → i
  10. Segment(B_1, E) → j
  11. Segment(C_1, F) → k
  12. Segment(G, D_1) → l
  13. Segment(H, E_1) → m
  14. Segment(I, F_1) → n
  15. Segment(J, G_1) → p
  16. Segment(K, H_1) → q
  17. Segment(L, I_1) → r
  18. Segment(M, J_1) → s
  19. Segment(N, K_1) → t
  20. Segment(O, L_1) → a_1
  21. Segment(P, M_1) → b_1
  22. Segment(Q, N_1) → c_1
  23. Segment(R, O_1) → d_1
  24. Segment(S, P_1) → e_1
  25. Segment(Q_1, T) → f_1
  26. Segment(R_1, U) → g_1