Using Mapping Diagrams to Understand Functions and Equations

GeoGebra Commands & Parameters

1. Point(i) → T_1
2. Element(glist, fn) → g
3. Element(flist, fn) → q
4. Point(yAxis) → A_x
5. Textfield(m) → inputBox1
6. Textfield(s) → inputBoxf
7. Sequence(Vector[(6, m(q(R(i)))), (8, s(m(q(R(i)))))], i, 1, 5) → Quadgvlist
8. Sequence(Vector[(4, q(R(i))), (6, m(q(R(i))))], i, 1, 5) → Quadmvlist
9. Sequence(Vector[(0, i), (2, R(i))], i, 1, 5) → QuadRvlist
10. Sequence(Vector[(2, R(i)), (4, q(R(i)))], i, 1, 5) → Quadqvlist
11. Point(i) → K
12. Vector(K, s_{inv}D) → w
13. Vector(s_{inv}D, m_{invSinvD}) → z
14. Vector(m_{invSinvD}, q_{inv+}) → d
15. Vector(q_{inv+}, I) → h_1
16. Vector(q_{inv-}, J) → j
17. Sequence(Vector[(0, i), (2, m(i))], i, -2, 2) → Linmvlist
18. Sequence(Vector[(2, m(i)), (4, s(m(i)))], i, -2, 2) → Linsvlist
19. Textfield(h) → inputBox2
20. Textfield(b) → inputBox3
21. Textfield(m_*) → inputBox4
22. Textfield(m) → inputBox5
23. Textfield(s) → inputBox6
24. Sequence(Vector[(0, i), (4, s(m(i)))], i, -2, 2) → Linfvlist
25. Point(b_1) → A
26. Vector(D, E) → k
27. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}}, "|_") → text22
28. TableText({{D1, E1}, {D2, E2}, {D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}}, "|_") → text23
29. TableText({{G1, H1, I1}, {G2, H2, I2}, {G3, H3, I3}, {G4, H4, I4}, {G5, H5, I5}, {G6, H6, I6}}, "|_") → text24
30. Vector(E, A) → u_1
31. TableText({{K1, L1}, {K2, L2}, {K3, L3}, {K4, L4}, {K5, L5}, {K6, L6}}, "|_") → text26
32. TableText({{N1, O1}, {N2, O2}, {N3, O3}, {N4, O4}, {N5, O5}, {N6, O6}}, "|_") → text27
33. TableText({{N1, O1, P1, Q1, R1}, {N2, O2, P2, Q2, R2}, {N3, O3, P3, Q3, R3}, {N4, O4, P4, Q4, R4}, {N5, O5, P5, Q5, R5}, {N6, O6, P6, Q6, R6}}, "|_") → text28
34. Vector(T_1, S_*) → w_1
35. Vector(S_*, T_*) → u_2
36. If(fn ≟ 3, (2, (-g(y(T_*)))), (2, π - g(y(T_*)))) → R_2
37. Vector(T_*, R_1) → v_2
38. Vector(T_*, R_2) → w_2
39. Vector(R_1, R_#) → a_2
40. Vector(R_2, R_*) → b_2
41. Vector(A, D) → g_2