funciones Arbol

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TABULACION x y Y1 -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 3.969 0.00 4.000 0.50 6.179 1.00 7.000 1.50 7.571 2.00 8.000 2.50 8.330 3.00 8.583 3.50 8.770 4.00 8.899 4.50 8.975 5.00 9.000 5.50 8.975 6.00 8.899 6.50 8.770 7.00 8.583 7.50 8.330 8.00 8.000 8.50 7.571 9.00 7.000 9.50 9.784 10.00 10.873 10.50 11.664 11.00 12.292 11.50 12.809 12.00 13.245 12.50 13.614 13.00 13.928 13.50 14.194 14.00 14.416 14.50 14.599 15.00 14.746 15.50 14.858 16.00 14.937 -6 -4 -2 0 2 4 6 0 2 4 6 8 10 12 14 16

description

funciones

Transcript of funciones Arbol

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

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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

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42.00 7.000

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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

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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

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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:

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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]