Dynamic Illustration of Domain & Range from Graph Inspection

GeoGebra Commands & Parameters

1. OrthogonalLine(B, i) → k
2. OrthogonalLine(A, i) → j
3. Intersect(i, j) → C
4. Intersect(i, k) → D
5. OrthogonalLine(B, yAxis) → l
6. OrthogonalLine(A, yAxis) → m
7. Intersect(l, yAxis) → E
8. Intersect(m, yAxis) → F
9. Dilate(A, If[0 < e ≤ 1, 1 - e, 0], C) → A'
10. Dilate(B, If[0 < e ≤ 1, 1 - e, 0], D) → B'
11. Vector(A, A') → u
12. Vector(B, B') → v
13. Dilate(C, If[1 < e ≤ 2, 2 - e, 0], D) → C'
14. Segment(C, C') → n
15. Dilate(A, If[0 < f ≤ 1, 1 - f, 0], F) → A'_1
16. Dilate(B, If[0 < f ≤ 1, 1 - f, 0], E) → B'_1
17. Vector(A, A'_1) → w
18. Vector(B, B'_1) → p
19. Dilate(F, If[1 < f ≤ 2, 2 - f, 0], E) → F'
20. Segment(F, F') → q
21. Intersect(g, t, 1) → G
22. Intersect(g, g_1, 1) → I
23. Intersect(i, t) → J
24. Intersect(i, g_1) → K
25. Dilate(G, If[0 < a_1 ≤ 1, 1 - a_1, 0], J) → G'
26. Dilate(I, If[0 < a_1 ≤ 1, 1 - a_1, 0], K) → I'
27. Vector(G, G') → u_1
28. Vector(I, I') → v_1
29. Dilate(J, If[1 < a_1 ≤ 2, 2 - a_1, 0], K) → J'
30. Segment(J, J') → i_1
31. Line(H, i) → j_1
32. Line(G, i) → k_1
33. Line(I, i) → l_1
34. Intersect(k_1, yAxis) → L
35. Intersect(j_1, yAxis) → M
36. Intersect(l_1, yAxis) → N
37. Dilate(H, If[0 < b_1 ≤ 1, 1 - b_1, 0], M) → H'
38. Dilate(G, If[0 < b_1 ≤ 1, 1 - b_1, 0], L) → G'_1
39. Dilate(I, If[0 < b_1 ≤ 1, 1 - b_1, 0], N) → I'_1
40. Vector(I, I'_1) → w_1
41. Vector(G, G'_1) → c_1
42. Vector(H, H') → d_1
43. Dilate(M, If[1 < b_1 ≤ 2, 2 - b_1, 0], N) → M'
44. Segment(M, M') → m_1
45. Dilate(M, If[1 < b_1 ≤ 2, 2 - b_1, 0], L) → M'_1
46. Segment(M, M'_1) → p_1