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Lineal

Cuadrática y=4px2

Cuadrática x=4py2

La circunferencia

Relación polinomial

Relación con radicales

Relación fraccionaria 01

Relación fraccionaria 02

Relación fraccionaria 03

Intersección de rectas

Intersección de parabolas

Coordenadas polares

Constante

Cuadrática

Lineal

Exponencial creciente

Exponencial decreciente

Logarítmica

Logarítmica de base n

Valor absoluto

Trigonométrica

http://www.luwalasoft.da.ru


Volver Relaci贸n Lineal x -5 7 -3 -2 -1 0 1 2 3 4 5

y= -x - 2 3 -9 1 0 -1 -2 -3 -4 -5 -6 -7

Relaci贸n lineal 4

2

0 -6

-4

-2

0

2

4

6

8

-2 y=-x-2 -4

-6

-8

-10


Volver RELACION CUADRATICA

x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

y=8x2 648 512 392 288 200 128 72 32 8 0 8 32 72 128 200 288 392

Relaci贸n cuadr谩tica 700 600 500 400 Series1

300 200 100 0 -10

-5

0

5

10


Volver RELACION CUADRATICA

x 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

x=8y2 0 0.25 0.354 0.433 0.5 0.559 0.612 0.661 0.707 0.75 0.791

x=8y2 0 -0.25 -0.354 -0.433 -0.5 -0.559 -0.612 -0.661 -0.707 -0.75 -0.791

Relaci贸n Cuadr谩tica 1 0.8 0.6 0.4 0.2

Series1

0 -0.2 -0.4 -0.6 -0.8 -1

0

1

2

3

4

5

6

Series2


Volver RELACION CUADRATICA x -4 -3.7 -3.4 -3.1 -2.8 -2.5 -2.2 -1.9 -1.6 -1.3 -1 -0.7 -0.4 -0.1 0.2 0.5 0.8 1.1 1.4 1.7 2 2.3 2.6 2.9 3.2 3.5 3.8 4

y=raiz(16-x2) 0 1.51986842 2.10713075 2.52784493 2.85657137 3.122499 3.34065862 3.51994318 3.66606056 3.78285606 3.87298335 3.93827373 3.97994975 3.9987498 3.99499687 3.96862697 3.91918359 3.8457769 3.7469988 3.6207734 3.46410162 3.27261363 3.03973683 2.75499546 2.4 1.93649167 1.2489996 0

y=-raiz(16-x2) 0 -1.519868415 -2.107130751 -2.527844932 -2.856571371 -3.122498999 -3.340658618 -3.519943181 -3.666060556 -3.782856064 -3.872983346 -3.938273734 -3.979949748 -3.998749805 -3.994996871 -3.968626967 -3.919183588 -3.845776905 -3.746998799 -3.620773398 -3.464101615 -3.272613634 -3.039736831 -2.754995463 -2.4 -1.936491673 -1.2489996 0

La circunferencia 5 4

3 2 1 0 -6

-4

-2

0 -1 -2 -3 -4

-5

2

4

6


VOLVER

x

y  yX 3

3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5

0 0.707106781 1 1.224744871 1.414213562 1.58113883 1.732050808 1.870828693 2 2.121320344 2.236067977 2.34520788 2.449489743 2.549509757 2.645751311 2.738612788 2.828427125 2.915475947

3.5

3

2.5

2 Series1

1.5

1

0.5

0 0

1

2

3

4

5

6

7

8

9

10 11 12 13


Volver

Relaci贸n c煤bica x -5 -4 -3 -2 -1 0 1 2 3 4 5

y=2x3-6x+1 -219 -103 -35 -3 5 1 -3 5 37 105 221

Relaci贸n c煤bica 250 200

150 100 50 0 -6

-4

-2

y=2x^3-6x+1 0

-50 -100 -150 -200 -250

2

4

6


Volver x

y=

2 x -4 2

-10

0.02083333

-9

0.02597403

-8

0.03333333

-7

0.04444444

-6

0.0625

-5

0.0952381

-4

0.16666667

-3

0.4

-1

-0.6666667

0

-0.5

1

-0.6666667

3

0.4

4

0.16666667

5

0.0952381

6

0.0625

7

0.04444444

8

0.03333333

9

0.02597403

10

0.02083333

-1.5

-1.1428571

-1.2

-0.78125

-0.9

-0.6269592

-0.6

-0.5494505

-0.3

-0.511509

0

-0.5

0.3

-0.511509

0.6

-0.5494505

0.9

-0.6269592

1.2

-0.78125

1.5

-1.1428571

0.6 0.4 0.2 0 -15

-10

-5

-0.2 0 -0.4 -0.6 -0.8 -1 -1.2 -1.4

5

10

15 Series1


Volver x

-10 -9 -8 -7 -6 -5 -4 -3 -1 0 1 3 4 5 6 7 8 9 10 -1.5 -1.2 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.2 1.5

y =

2x x -4 2

-0.208333 -0.233766 -0.266667 -0.311111 -0.375 -0.47619 -0.666667 -1.2 0 0.6666667 0 -0.666667 0 1.2 0.6666667 0.4761905 0.375 0.3111111 0.2666667 0.2337662 0.2083333 1.7142857 0.9375 0.5642633 0.3296703 0.1534527 0 -0.153453 -0.32967 -0.564263 -0.9375 -1.714286

2 1.5 1 0.5 0 -15

-10

-5

0 -0.5 -1 -1.5 -2

5

10

15


Volver x -9

2x 2 y = 2 x -4

2.103896104

-8

2.133333333

-7

2.177777778

-6

2.25

-5

2.380952381

-4

2.666666667

-3

3.6 0

-1

-0.666666667

0

0

1

-0.666666667 0

3

3.6

4

2.666666667

5

2.380952381

6

2.25

7

2.177777778

8

2.133333333

9

2.103896104

10

2.083333333

-1.5

-2.571428571

-1.2

-1.125

-0.9

-0.507836991

-0.6

-0.197802198

-0.3

-0.046035806

0

0

0.3

-0.046035806

0.6

-0.197802198

0.9

-0.507836991

1.2

-1.125

1.5

-2.571428571

4 3 2 1 Series1 0 -10

-5

-1 -2 -3

0

5

10

15


Volver Graficar e indicar el punto de interseccion de las rectas y=2x-4 y y=3x+5 X 1 2 3 4 5 6 7 8 9 10

y=2X - 4 -2 0 2 4 6 8 10 12 14 16

Y=-3X + 5 2 -1 -4 -7 -10 -13 -16 -19 -22 -25

20

Punto de intersecci贸n de 2 rectas

15 10

5 0 -5 -10 -15 -20 -25 -30

0

2

4

6

8

10

12

y=2x-4 y=-3x+5


Graficar e indicar los puntos de intersecci贸n de las par谩bolas X -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

y=2X2-4 46 28 14 4 -2 -4 -2 4 14 28 46 68 94 124

y=-3X2+15 -60 -33 -12 3 12 15 12 3 -12 -33 -60 -93 -132 -177

Volver

PUNTOS DE INTERSECCION DE 2 150 PARABOLAS 100

50

0 -10

-5

0 -50

-100

-150

-200

5

10


Volver Funci贸n Constante x -5 -4 -3 -2 -1 0 1 2 3 4 5

Y=3 3 3 3 3 3 3 3 3 3 3 3

Funci贸n Constante 3.5 3 2.5 2 1.5 1 0.5 0 -6

-4

-2

0 Series1

2

4

6


Volver Funci贸n Lineal x -5 -4 -3 -2 -1 0 1 2 3 4 5

y=2x-4 -14 -12 -10 -8 -6 -4 -2 0 2 4 6

Funci贸n lineal 10

5 0 -6

-4

-2

0 -5 -10 -15

2

4

6

Series1


Volver FUNCION CUADRATICA x -5 -4 -3 -2 -1 0 1 2 3 4 5

Funci贸n Cuadr谩tica

y=-3x2-2x-6 79 50 27 10 -1 -6 -5 2 15 34 59

90 80 70 60 50 40

Series1

30 20 10

0 -6

-4

-2

-10 0 -20

2

4

6


Volver FUNCION VALOR ABSOLUTO

X -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Y=/X-4/ 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6

FUNCION VALOR ABSOLUTO 10 8 6 4 2 0 -5

0

5

10


Volver FUNCION EXPONENCIAL

x

-5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

y=(1/2)

x

32 22.627417 16 11.313708 8 5.6568542 4 2.8284271 2 1.4142136 1 0.7071068 0.5 0.3535534 0.25 0.1767767 0.125 0.0883883 0.0625 0.0441942 0.03125

FUNCION EXPONENCIAL DECRECIENTE 35 30 25 20 15 10 5 0 -6

-4

-2

0

2

4

6


Volver FUNCION EXPONENCIAL

x -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

y=2X 0.03125 0.04419417 0.0625 0.08838835 0.125 0.1767767 0.25 0.35355339 0.5 0.70710678 1 1.41421356 2 2.82842712 4 5.65685425 8 11.3137085 16 22.627417 32

FUNCION EXPONENCIAL CRECIENTE 35 30 25 20 15

10 5 0 -6

-4

-2

0

2

4

6


Volver FUNCION LOGARITMICA x y=logx base 2 0.01 -6.64385619 0.02 -5.64385619 0.03 -5.058893689 0.04 -4.64385619 0.05 -4.321928095 0.06 -4.058893689 0.07 -3.836501268 0.08 -3.64385619 0.09 -3.473931188 0.1 -3.321928095 0.11 -3.184424571 0.12 -3.058893689 0.13 -2.943416472 0.14 -2.836501268 0.15 -2.736965594 0.16 -2.64385619 0.17 -2.556393349 0.18 -2.473931188 0.19 -2.395928676 0.2 -2.321928095 0.21 -2.251538767 0.22 -2.184424571 0.23 -2.120294234 0.24 -2.058893689 0.25 -2 0.26 -1.943416472 0.27 -1.888968688 0.28 -1.836501268 0.29 -1.785875195 0.3 -1.736965594 0.31 -1.689659879 0.32 -1.64385619 0.33 -1.59946207 0.34 -1.556393349 0.35 -1.514573173

FUNCION LOGARITMICA DE BASE 2 0 0 -1 -2 -3 -4 -5 -6 -7

0.1

0.2

0.3

0.4


Volver FUNCION LOGARITMICA

x

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.3

y=log x

-2 -1.69897 -1.5228787 -1.39794 -1.30103 -1.2218487 -1.154902 -1.09691 -1.0457575 -1 -0.9586073 -0.9208188 -0.8860566 -0.853872 -0.8239087 -0.79588 -0.7695511 -0.7447275 -0.7212464 -0.69897 -0.6777807 -0.6575773 -0.6382722 -0.6197888 -0.60206 -0.5850267 -0.5686362 -0.552842 -0.537602 -0.5228787

FUNCION LOGARITMICA CRECIENTE 0 0

-0.5

-1

-1.5

-2

-2.5

0.1

0.2

0.3

0.4


Volver FUNCION TRIGONOMETRICA x -360 -340 -320 -300 -280 -260 -240 -220 -200 -180 -160 -140 -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320

radianes -6.28318531 -5.93411946 -5.58505361 -5.23598776 -4.88692191 -4.53785606 -4.1887902 -3.83972435 -3.4906585 -3.14159265 -2.7925268 -2.44346095 -2.0943951 -1.74532925 -1.3962634 -1.04719755 -0.6981317 -0.34906585 0 0.34906585 0.6981317 1.04719755 1.3962634 1.74532925 2.0943951 2.44346095 2.7925268 3.14159265 3.4906585 3.83972435 4.1887902 4.53785606 4.88692191 5.23598776 5.58505361

y=sen x 2.4503E-16 0.34202014 0.64278761 0.8660254 0.98480775 0.98480775 0.8660254 0.64278761 0.34202014 -1.2251E-16 -0.34202014 -0.64278761 -0.8660254 -0.98480775 -0.98480775 -0.8660254 -0.64278761 -0.34202014 0 0.34202014 0.64278761 0.8660254 0.98480775 0.98480775 0.8660254 0.64278761 0.34202014 1.2251E-16 -0.34202014 -0.64278761 -0.8660254 -0.98480775 -0.98480775 -0.8660254 -0.64278761

y=cos x 1 0.93969262 0.76604444 0.5 0.17364818 -0.17364818 -0.5 -0.76604444 -0.93969262 -1 -0.93969262 -0.76604444 -0.5 -0.17364818 0.17364818 0.5 0.76604444 0.93969262 1 0.93969262 0.76604444 0.5 0.17364818 -0.17364818 -0.5 -0.76604444 -0.93969262 -1 -0.93969262 -0.76604444 -0.5 -0.17364818 0.17364818 0.5 0.76604444

Funci贸n seno y coseno 1.5 1

0.5

y=seno (x)

0 -400

-200

0 -0.5

-1

-1.5

200

y=cos(x) 400


COORDENADAS POLARES Nยบ de lazos

ANGULO radianes RADIO 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360

0 0.17453293 0.34906585 0.52359878 0.6981317 0.87266463 1.04719755 1.22173048 1.3962634 1.57079633 1.74532925 1.91986218 2.0943951 2.26892803 2.44346095 2.61799388 2.7925268 2.96705973 3.14159265 3.31612558 3.4906585 3.66519143 3.83972435 4.01425728 4.1887902 4.36332313 4.53785606 4.71238898 4.88692191 5.06145483 5.23598776 5.41052068 5.58505361 5.75958653 5.93411946 6.10865238 6.28318531

1.41 1.16 0.48 0.37 1.08 1.41 1.22 0.60 0.25 1.00 1.39 1.28 0.71 0.12 0.91 1.37 1.33 0.81 0.00 0.81 1.33 1.37 0.91 0.12 0.71 1.28 1.39 1.00 0.25 0.60 1.22 1.41 1.08 0.37 0.48 1.16 1.41

7

r = 1 + cos(lazos * angulo ) 2

x

1.41 1.14 0.45 0.32 0.83 0.91 0.61 0.20 0.04 0.00 -0.24 -0.44 -0.35 -0.08 -0.70 -1.18 -1.25 -0.80 0.00 -0.80 -1.25 -1.18 -0.70 -0.08 -0.35 -0.44 -0.24 0.00 0.04 0.20 0.61 0.91 0.83 0.32 0.45 1.14 1.41

Volver

y

0.00 0.20 0.17 0.18 0.70 1.08 1.06 0.56 0.24 1.00 1.37 1.20 0.61 0.09 0.58 0.68 0.45 0.14 0.00 -0.14 -0.45 -0.68 -0.58 -0.09 -0.61 -1.20 -1.37 -1.00 -0.24 -0.56 -1.06 -1.08 -0.70 -0.18 -0.17 -0.20 0.00

2.00 1.50 1.00 0.50 0.00 -1.50

-1.00

-0.50 0.00 -0.50 -1.00 -1.50 -2.00

0.50

1.00

1.50

2.00


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