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Composite Function & Null Set Demo

Composite Function & Null Set Demo
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2015-11-22 05:42
FunctionCalculusOptimizationGeometric ConstructionGraphing
This example demonstrates constructing composite functions and visualizing the null set using GeoGebra. Key math concepts include composite functions, null set definition, and function graphing. Construction highlights involve commands like Segment, Textfield, Polygon, Vector, and Point. Suitable for high school and above learners to understand composite function properties and the role of the null set in mathematics.

GeoGebra Commands & Parameters

  1. Segment(E, F) → l
  2. Textfield(s) → InputBox2
  3. Segment(S, T) → a_1
  4. Segment(U, V) → b_1
  5. Segment(U_1, V_1) → b_2
  6. Polygon(C_1, D_1, E_1, F_1) → poly1, c_1, d_1, e_1, f_1
  7. Textfield(t_0) → InputBox1
  8. Segment(G_1, H_1) → t
  9. Polygon(I_1, J_1, K_1, L_1) → poly2, i_3, j_1, k_1, l_1
  10. Polygon(I_2, J_2, K_2, L_2) → poly2_1, i_4, j_2, k_2, l_2
  11. Vector(T_1, W_1) → h_1
  12. Vector(Z_1, A_2) → m_1
  13. Vector(C_2, D_2) → p_1
  14. Vector(Z_1, E_2) → q_1
  15. Vector(F_2, G_2) → r_1
  16. Point(j_1) → M_2
  17. Vector(B_2, H_2) → u_1
  18. Vector(B_2, N_2) → v_1
  19. Vector(O_2, P_2) → w_1
  20. Vector(Q_2, R_2) → g_1
  21. Vector(S_2, T_2) → n_1
  22. Vector(U_2, V_2) → u_2