Ejemplos de funciones

1. Calculo diferencial.
Presenta:
♪Garnica Pacheco Rosario.
♪Ramírez Moctezuma Miriam
♪Romero Affif Said.
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5° B Matutino.
Profesor: Erasmo Lucero.

2. Función lineal.

3. x y=8x-2
-4 -34
-2 -18
0 -2
2 14
4 30
-40
-35
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
35
-5 -4 -3 -2 -1 0 1 2 3 4 5
y=8x-2
y=8x-2

4. x y=5x+12
-8 -28
-6 -18
-4 -8
-2 2
0 12
2 22
4 32
6 42
8 52
-40
-30
-20
-10
0
10
20
30
40
50
60
-10 -5 0 5 10
y=5x+12
y=5x+12

5. x y=-6x-9
-8 39
-5 21
-3 9
0 -9
4 -33
6 -45
10 -69
-80
-60
-40
-20
0
20
40
60
-10 -8 -6 -4 -2 0 2 4 6 8 10 12
y=-6x-9
y=-6x-9

7. X y=2x^2+2x-15
-8 97
-3 -3
-1 -15
0 -15
2 -3
4 25
5 45
-40
-20
0
20
40
60
80
100
120
-10 -5 0 5 10
y=2x^2+2x-15
y=2x^2+2x-15

8. x Y=3x^2-4x+3
-5 98
-3 42
-1 10
0 3
1 2
3 18
5 58
0
20
40
60
80
100
120
-6 -4 -2 0 2 4 6
Y=3x^2-4x+3
Y=3x^2-4x+3

9. -8
-6
-4
-2
0
2
4
6
8
10
12
-4 -3 -2 -1 0 1 2 3 4
Y=x^3-8x+2
Y=x^3-8x+2
x Y=x^3-8x+2
-3 -1
-2 10
-1 9
0 2
1 -5
2 -6
3 5

11. x Y=LOG(x,2)
15 3.9068906
9 3.169925
6 2.5849625
4 2
2 1
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
0 2 4 6 8 10 12 14 16
Y=LOG(x,2)
Y=LOG(x,2)

12. X y=LOG10(x)
9 0.95424251
7 0.84509804
6 0.77815125
3 0.47712125
0
0.2
0.4
0.6
0.8
1
1.2
0 1 2 3 4 5 6 7 8 9 10
y=LOG10(x)
y=LOG10(x)

13. x LN(X)
15 2.7080502
9 2.19722458
8 2.07944154
6 1.79175947
5 1.60943791
3 1.09861229
0
0.5
1
1.5
2
2.5
3
0 2 4 6 8 10 12 14 16
LN(X)
LN(X)

15. x Y=x^2+3x-10
-6 8
-4 -6
-1 -12
0 -10
3 8
6 44
7 60
-20
-10
0
10
20
30
40
50
60
70
-8 -6 -4 -2 0 2 4 6 8
Y=x^2+3x-10
Y=x^2+3x-10

16. x Y=2x^2+9x+1
-8 57
-5 6
-2 -9
0 1
3 46
5 96
-20
0
20
40
60
80
100
120
-10 -5 0 5 10
Y=2x^2+9x+1
Y=2x^2+9x+1

17. x Y=x^2-2x-3
-3 12
-2 5
-1 0
0 -3
1 -4
3 0
4 5
-6
-4
-2
0
2
4
6
8
10
12
14
-4 -3 -2 -1 0 1 2 3 4 5
Y=x^2-2x-3
Y=x^2-2x-3

18. Función cúbica.

19. x Y=x^3-6x+9
-4 -31
-2 13
0 9
3 18
5 104
-40
-20
0
20
40
60
80
100
120
-6 -4 -2 0 2 4 6
Y=x^3-6x+9
Y=x^3-6x+9

20. x Y=-x^3+8x-9
-5 76
-4 23
0 -9
3 -12
4 -41
-60
-40
-20
0
20
40
60
80
100
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
Y=-x^3+8x-9
Y=-x^3+8x-9

21. x y=-2x^3+x+2
-3 53
-2 16
0 2
1 1
4 -122
-140
-120
-100
-80
-60
-40
-20
0
20
40
60
80
-4 -3 -2 -1 0 1 2 3 4 5
y=-2x^3+x+2
y=-2x^3+x+2

22. Función
Constante.

23. x Y=8
-11 8
-8 8
-6 8
-1 8
4 8
7 8
10 8
0
1
2
3
4
5
6
7
8
9
-15 -10 -5 0 5 10 15
Y=8
Y=8

24. X=-14 y
-14 -18
-14 -13
-14 -10
-14 -5
-14 -1
-14 4
-14 9
-14 13
-20
-15
-10
-5
0
5
10
15
-16 -14 -12 -10 -8 -6 -4 -2 0
y
y

25. x Y=-26
-21 -26
-15 -26
-11 -26
-9 -26
-2 -26
4 -26
12 -26
16 -26
-30
-25
-20
-15
-10
-5
0
-30 -20 -10 0 10 20
Y=-26
Y=-26

26. Función racional.

27. x Y=x^2/2
-6 18
-5 12.5
-1 0.5
4 8
0
2
4
6
8
10
12
14
16
18
20
-8 -6 -4 -2 0 2 4 6
Y=x^2/2
Y=x^2/2

28. x Y=x^3-3/x+1
-6 -214.5
-3.5 -41.0178571
-2.5 -13.425
-1.6 -1.221
4 64.25-250
-200
-150
-100
-50
0
50
100
-8 -6 -4 -2 0 2 4 6
Y=x^3-3/x+1
Y=x^3-3/x+1

29. x Y=x/x^2+4
-6 3.83333333
-3.6 3.72222222
-2.2 3.54545455
-0.8 2.75
-0.2 -1
-2
-1
0
1
2
3
4
5
-7 -6 -5 -4 -3 -2 -1 0
Y=x/x^2+4
Y=x/x^2+4

31. x Y=RAIZ(2x*4x)
-15 42.42640687
-11 31.11269837
-3 8.485281374
7 19.79898987
19 53.74011537
40 113.137085
0
20
40
60
80
100
120
-20 -10 0 10 20 30 40 50
Y=RAIZ(2x*4x)
Y=RAIZ(2x*4x)

32. x Y=RAIZ(9x*3x)
-21 109.1192009
-16 83.13843876
-11 57.15767665
-2 10.39230485
3 15.58845727
8 41.56921938
15 77.94228634
0
20
40
60
80
100
120
-30 -20 -10 0 10 20
Y=RAIZ(9x*3x)
Y=RAIZ(9x*3x)

33. x Y=RAIZ(2x*x)(x)
-7 -69.29646456
-5 -35.35533906
-1 -1.414213562
-0.3 -0.127279221
3 12.72792206
4.8 32.58348048
7.7 83.84872211
-80
-60
-40
-20
0
20
40
60
80
100
-10 -5 0 5 10
Y=RAIZ(2x*x)(x)
Y=RAIZ(2x*x)(x)

34. Función Seno.

35. x y=Seno(x+9)
-11 -0.90929743
-6 0.14112001
-1 0.98935825
0 0.41211849
2 -0.99999021
5 0.99060736
9 -0.75098725
-1.5
-1
-0.5
0
0.5
1
1.5
-15 -10 -5 0 5 10
y=Seno(x+9)
y=Seno(x+9)

36. x Y=Seno(x)
-21 -0.83665564
-15 -0.65028784
-6 0.2794155
-2 -0.90929743
-0.3 -0.29552021
4 -0.7568025
11 -0.99999021
19 0.14987721
24 -0.90557836
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
-25 -20 -15 -10 -5 0 5 10 15 20 25 30
Y=Seno(x)
Y=Seno(x)

37. x Y=Seno(x)
3 0.14112001
6 -0.2794155
9 0.41211849
12 -0.53657292
15 0.65028784
18 -0.75098725
21 0.83665564
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
0 5 10 15 20 25
Y=Seno(x)
Y=Seno(x)

39. x Y=Coseno(x-2)
-16 0.660316708
-12 0.136737218
-8 -0.839071529
-4 0.960170287
0 -0.416146837
4 -0.416146837
8 0.960170287
12 -0.839071529
16 0.136737218
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1.2
-20 -10 0 10 20
Y=Coseno(x-2)
Y=Coseno(x-2)

40. x Y=Coseno(X)
0 1
1 0.540302306
2 -0.416146837
3 -0.989992497
4 -0.653643621
5 0.283662185
6 0.960170287
7 0.753902254
8 -0.145500034
9 -0.911130262
10 -0.839071529
11 0.004425698
-1.5
-1
-0.5
0
0.5
1
1.5
0 2 4 6 8 10 12
Y=Coseno(X)
Y=Coseno(X)

41. x Y=Coseno(x+1)
-9 -0.145500034
-7 0.960170287
-5 -0.653643621
-3 -0.416146837
-1 1
0 0.540302306
2 -0.989992497
4 0.283662185
6 0.753902254
8 -0.911130262
-1.5
-1
-0.5
0
0.5
1
1.5
-10 -8 -6 -4 -2 0 2 4 6 8 10
Y=Coseno(x+1)
Y=Coseno(x+1)