TABULACION

x yY1 -4.00 0.000

-3.50 1.936-3.00 2.646-2.50 3.122-2.00 3.464-1.50 3.708-1.00 3.873-0.50 3.9690.00 4.0000.50 6.1791.00 7.0001.50 7.5712.00 8.0002.50 8.3303.00 8.5833.50 8.7704.00 8.8994.50 8.9755.00 9.0005.50 8.9756.00 8.8996.50 8.7707.00 8.5837.50 8.3308.00 8.0008.50 7.5719.00 7.0009.50 9.784

10.00 10.87310.50 11.66411.00 12.29211.50 12.80912.00 13.24512.50 13.61413.00 13.92813.50 14.19414.00 14.41614.50 14.59915.00 14.74615.50 14.85816.00 14.93716.50 14.98417.00 15.00017.50 14.984

-6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 440

2

4

6

8

10

12

14

16

18.00 14.93718.50 14.85819.00 14.74619.50 14.59920.00 14.41620.50 14.19421.00 13.92821.50 13.61422.00 13.24522.50 12.80923.00 12.29223.50 11.66424.00 10.87324.50 9.78425.00 7.00025.50 6.81326.00 6.25026.50 5.31327.00 4.00027.50 4.00028.00 4.00028.50 4.00029.00 4.00029.50 4.00030.00 4.00030.50 4.00031.00 4.00031.50 4.00032.00 4.00032.50 4.00033.00 4.00033.50 4.00034.00 4.00034.50 4.00035.00 4.00035.50 4.00036.00 4.00036.50 4.00037.00 4.00037.50 4.00038.00 4.00038.50 4.00039.00 4.00039.50 4.00040.00 4.00040.50 4.75041.00 5.50041.50 6.250

42.00 7.000

-6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 440

2

4

6

8

10

12

14

16

TABULACION

x yY1 -4.00 0.000 GRAFICA:

-3.50 1.936-3.00 2.646-2.50 3.122-2.00 3.464-1.50 3.708-1.00 3.873-0.50 3.9690.00 4.000

Y2 0.50 6.1791.00 7.0001.50 7.5712.00 8.0002.50 8.3303.00 8.5833.50 8.7704.00 8.8994.50 8.9755.00 9.0005.50 8.9756.00 8.899 FUNCIONES:6.50 8.7707.00 8.583 Semicircunferencia7.50 8.3308.00 8.000 Semicircunferencia8.50 7.5719.00 7.000 Semicircunferencia

Y3 9.50 9.78410.00 10.873 Cuadratica10.50 11.66411.00 12.292 Constante11.50 12.80912.00 13.245 Lineal12.50 13.61413.00 13.92813.50 14.19414.00 14.41614.50 14.59915.00 14.74615.50 14.85816.00 14.93716.50 14.984

-6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 440

2

4

6

8

10

12

14

16

Árbol

Y1

Y2

Y3

Y4Y5

Y6

Max(17, 15)

𝑦5=4 → 𝑥 ∈ <27, 40]

𝑦1=√(16−𝑥^2 ) → 𝑥 ∈[−4, 0]

𝑦2=√(25−( −〖𝑥 5)〗^2 )+4 → 𝑥 ∈ <0 , 9]

𝑦3=√(64−( −〖𝑥 17)〗^2 )+7 → 𝑥 ∈ <9, 25]

𝑦4=−0.75 ∗〖 (𝑥−25)〗^2+7 → 𝑥 ∈ <25, 27]

𝑦6=1.5∗𝑥−56 → 𝑥 ∈ <40, 42]

17.00 15.00017.50 14.98418.00 14.93718.50 14.85819.00 14.74619.50 14.59920.00 14.41620.50 14.19421.00 13.92821.50 13.61422.00 13.24522.50 12.80923.00 12.29223.50 11.66424.00 10.87324.50 9.78425.00 7.000

Y4 25.50 6.81326.00 6.25026.50 5.31327.00 4.000

Y5 27.50 4.00028.00 4.00028.50 4.00029.00 4.00029.50 4.00030.00 4.00030.50 4.00031.00 4.00031.50 4.00032.00 4.00032.50 4.00033.00 4.00033.50 4.00034.00 4.00034.50 4.00035.00 4.00035.50 4.00036.00 4.00036.50 4.00037.00 4.00037.50 4.00038.00 4.00038.50 4.00039.00 4.000

39.50 4.00040.00 4.000

Y6 40.50 4.75041.00 5.50041.50 6.25042.00 7.000

Dominio:

Rango:

-6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 440

2

4

6

8

10

12

14

16

Árbol

Y1

Y2

Y3

Y4Y5

Y6

Max(17, 15)

𝑦5=4 → 𝑥 ∈ <27, 40]

𝑥 𝜖 [−4, 42]

𝑓(𝑥) 𝜖 [0, 15]𝑦1=√(16−𝑥^2 ) → 𝑥 ∈[−4, 0]

𝑦2=√(25−( −〖𝑥 5)〗^2 )+4 → 𝑥 ∈ <0 , 9]

𝑦3=√(64−( −〖𝑥 17)〗^2 )+7 → 𝑥 ∈ <9, 25]

𝑦4=−0.75 ∗〖 (𝑥−25)〗^2+7 → 𝑥 ∈ <25, 27]

𝑦6=1.5∗𝑥−56 → 𝑥 ∈ <40, 42]