Ejercicios Funciones de Tercer Grado

8/8/2019 Ejercicios Funciones de Tercer Grado

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Dx =

x0 =

0.5

-5

x y-5 0

-4.5 36.125

-4 64

-3.5 84.375

-3 98

-2.5 105.625

-2 108

-1.5 105.875-1 100

-0.5 91.125

0 80

0.5 67.375

1 54

1.5 40.625

2 28

2.5 16.875

3 8

3.5 2.125

4 0

4.5 2.375

5 10

raices -5 4 4 a2 a1 a0

-3 -24 80

y = x3 - 3 x2 - 24 x + 80 1

GRAFICA

120

100

80

60

40

20

0-6 -4 -2 0 2 4 6

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2/11

Dx =

x0 =

0.5

-5

x y-5 0

-4.5 2.125

-4 0

-3.5 -5.625

-3 -14

-2.5 -24.375

-2 -36

-1.5 -48.125-1 -60

-0.5 -70.875

0 -80

0.5 -86.625

1 -90

1.5 -89.375

2 -84

2.5 -73.125

3 -56

3.5 -31.875

4 0

4.5 40.375

5 90

raices -4 -5 4 a2 a1 a0

5 -16 -80

y = x3 + 5 x2 - 16 x - 80 2

GRAFICA

100

80

60

40

20

-6 -4

0-2 0

-20

2 4 6

-40

-60

-80

-100



3/11

Dx =

x0 =

0.5

-5

x y-5 0

-4.5 10.625

-4 16

-3.5 16.875

-3 14

-2.5 8.125

-2 0

-1.5 -9.625-1 -20

-0.5 -30.375

0 -40

0.5 -48.125

1 -54

1.5 -56.875

2 -56

2.5 -50.625

3 -40

3.5 -23.375

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4.5 30.875

5 70

raices -5 -2 4 a2 a1 a0

3 -18 -40

y = x3 + 3 x2 - 18 x - 40 3

GRAFICA

80

60

40

20

-6 -4

0-2 0 2 4 6

-20

-40

-60

-80



4/11

Dx =

x0 =

0.5

-5

x y-5 -144

-4.5 -95.625

-4 -56

-3.5 -24.375

-3 0

-2.5 17.875

-2 30

-1.5 37.125-1 40

-0.5 39.375

0 36

0.5 30.625

1 24

1.5 16.875

2 10

2.5 4.125

3 0

3.5 -1.625

4 0

4.5 5.625

5 16


-4 -9 36

y = x3 - 4 x2 - 9 x + 36 4

GRAFICA

50

-6 -4

0-2 0 2 4 6

-50

-100

-150

-200



5/11

Dx =

x0 =

0.5

-5

x y-5 -9

-4.5 -2.125

-4 0

-3.5 -1.875

-3 -7

-2.5 -14.625

-2 -24

-1.5 -34.375-1 -45

-0.5 -55.125

0 -64

0.5 -70.875

1 -75

1.5 -75.625

2 -72

2.5 -63.375

3 -49

3.5 -28.125

4 0

4.5 36.125

5 81

raices -4 -4 4 a2 a1 a0

4 -16 -64

y = x3 + 4 x2 - 16 x - 64 5

GRAFICA

100

80

60

40

20

-6 -4

0-2 0 2 4 6

-20

-40

-60

-80

-100



6/11

Dx =

x0 =

0.5

-5

x y-5 -32-4.5 -13.125

-4 0

-3.5 8.125

-3 12

-2.5 12.375

-2 10

-1.5 5.625-1 0

-0.5 -6.125

0 -12

0.5 -16.875

1 -20

1.5 -20.625

2 -18

2.5 -11.375

3 0

3.5 16.875

4 40

4.5 70.125

5 108

raices -4 -1 3 a2 a1 a0

2 -11 -12

y = x3 + 2 x2 - 11 x - 12 6

GRAFICA

120

100

80

60

40

20

-6-4

0

-2 0 2 4 6

-20

-40



7/11

Dx =

x0 =

0.5

-5

x y-5 -28-4.5 -14.625

-4 -6

-3.5 -1.375

-3 0

-2.5 -1.125

-2 -4

-1.5 -7.875-1 -12

-0.5 -15.625

0 -18

0.5 -18.375

1 -16

1.5 -10.125

2 0

2.5 15.125

3 36

3.5 63.375

4 98

4.5 140.625

5 192

raices -3 -3 2 a2 a1 a0

4 -3 -18

y = x3 + 4 x2 - 3 x - 18 7

GRAFICA

250

200

150

100

50

-6 -4

0-2 0 2 4 6

-50



8/11

Dx =

x0 =

0.5

-5

x y-5 -63-4.5 -27.625

-4 0

-3.5 20.625

-3 35

-2.5 43.875

-2 48

-1.5 48.125-1 45

-0.5 39.375

0 32

0.5 23.625

1 15

1.5 6.875

2 0

2.5 -4.875

3 -7

3.5 -5.625

4 0

4.5 10.625

5 27


-2 -16 32

y = x3 - 2 x2 - 16 x + 32 8

GRAFICA

60

40

20

-6 -4

0-2 0 2 4 6

-20

-40

-60

-80



9/11

Dx =

x0 =

0.5

-5

x y-5 -144-4.5 -103.125

-4 -70

-3.5 -43.875

-3 -24

-2.5 -9.625

-2 0

-1.5 5.625-1 8

-0.5 7.875

0 6

0.5 3.125

1 0

1.5 -2.625

2 -4

2.5 -3.375

3 0

3.5 6.875

4 18

4.5 34.125

5 56


-2 -5 6

y = x3 - 2 x2 - 5 x + 6 9

GRAFICA

60

40

20

-6 -4

0-2 0 2 4 6

-20

-40

-60

-80

-100

-120

-140

-160



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Ejercicios Funciones de Tercer Grado

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