Download - funciones Arbol

Transcript
Page 1: funciones Arbol

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

Page 2: funciones Arbol

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

Page 3: funciones Arbol

42.00 7.000

Page 4: funciones Arbol

-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

Page 5: funciones Arbol

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]

Page 6: funciones Arbol

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

Page 7: funciones Arbol

39.50 4.00040.00 4.000

Y6 40.50 4.75041.00 5.50041.50 6.25042.00 7.000

Page 8: funciones Arbol

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]