Gráfica de funciones

1. GRÁFICAS DE FUNCIONES SESION VIRTUAL
x f(x)=3x +5
-5 -10
-4 -7
-3 -4
-2 -1
-1 2
0 5
1 8
2 11
3 14
f 𝒙 = 𝟑𝒙 + 𝟓
-20
-15
-10
-5
0
5
10
15
20
-6 -4 -2 0 2 4 6
f(x)=3x +5
f(x)=3x +5
FUNCIÓN LINEAL

2. x f(x)= 1/x
-6 -0.17
-5 -0.20
-4 -0.25
-3 -0.33
-2 -0.50
-1 -1.00
0 #¡DIV/0!
1 1.00
2 0.50
3 0.33
4 0.25
5 0.20
6 0.17
7 0.14
8 0.13
9 0.11
10 0.10
11 0.09
12 0.08
13 0.08
14 0.07
15 0.07
16 0.06
17 0.06
𝒇(𝒙) =
𝟏
𝒙
-2.50
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
-15 -10 -5 0 5 10 15
f(x)=1/x
parte izquierda
parte derecha
FUNCIÓN RACIONAL

3. x f(x) =2x^2 + 3x - 1
-10 169
-9 134
-8 103
-7 76
-6 53
-5 34
-4 19
-3 8
-2 1
-1 -2
0 -1
1 4
2 13
3 26
4 43
5 64
6 89
7 118
8 151
9 188
10 229
11 274
12 323
f(x )= 𝟐𝒙 𝟐
+3x - 1
-25
25
75
125
175
225
275
-10 -5 0 5 10
f(x) =2x^2 + 3x - 1
f(x) =2x^2 + 3x - 1
FUNCIÓN CUADRÁTICA

4. x
-8 -62
-7 -47
-6 -34
-5 -23
-4 -14
-3 -7
-2 -2
-1 1
0 2
1 1
2 -2
3 -7
4 -14
5 -23
6 -34
7 -47
8 -62
9 -79
f(x) =-x^2 +2
𝒇 𝒙 = −𝒙 𝟐
+ 2
-100
-80
-60
-40
-20
0
20
-20 -15 -10 -5 0 5 10 15 20
f(x) =-x^2 +2
f(x) =-x^2 +2
FUNCIÓN CUADRÁTICA

5. x
-10 -995
-9 -724
-8 -507
-7 -338
-6 -211
-5 -120
-4 -59
-3 -22
-2 -3
-1 4
0 5
1 6
2 13
3 32
4 69
5 130
6 221
7 348
8 517
9 734
10 1005
11 1336
12 1733
f(x) = x^3 +5
𝒇 𝒙 = 𝒙 𝟑
+5
-2000
-1500
-1000
-500
0
500
1000
1500
2000
-15 -10 -5 0 5 10 15
f(x) = x^3 +5
f(x) = x^3 +5
FUNCIÓN CÚBICA

6. x x-3 x+2 f(x)=4/(x-3)(x+2)asintota vertical 1valor y asintota vertical 2 valor y
-10 -13 -8 0.04 3 0.8 -2 0.8
-9 -12 -7 0.05 3 0.7 -2 0.7
-8 -11 -6 0.06 3 0.6 -2 0.6
-7 -10 -5 0.08 3 0.5 -2 0.5
-6 -9 -4 0.11 3 0.4 -2 0.4
-5 -8 -3 0.17 3 0.3 -2 0.3
-4 -7 -2 0.29 3 0.2 -2 0.2
-3 -6 -1 0.67 3 0.1 -2 0.1
-2 -5 0 #¡DIV/0! 3 1.4E-16 -2 1.38778E-16
-1 -4 1 -1.00 3 -0.1 -2 -0.1
0 -3 2 -0.67 3 -0.2 -2 -0.2
1 -2 3 -0.67 3 -0.3 -2 -0.3
2 -1 4 -1.00 3 -0.4 -2 -0.4
3 0 5 #¡DIV/0! 3 -0.5 -2 -0.5
4 1 6 0.67 3 -0.6 -2 -0.6
5 2 7 0.29 3 -0.7 -2 -0.7
6 3 8 0.17 3 -0.8 -2 -0.8
7 4 9 0.11 3 -0.9 -2 -0.9
8 5 10 0.08 3 -1 -2 -1
9 6 11 0.06 3 -1.1 -2 -1.1
10 7 12 0.05 3 -1.2 -2 -1.2
f(x)=
𝟒
(𝒙−𝟑)(𝒙+𝟐) FUNCIÓN RACIONAL

7. -1.70
-1.20
-0.70
-0.20
0.30
0.80
-20 -15 -10 -5 0 5 10 15 20
f(x) = 4/(x+3)(x-2)
parte izquierda
parte derecha
parte derecha
asintota vertical 1
asintota vertical 2