Matematicas
Páginas: 5 (1061 palabras)
Publicado: 20 de octubre de 2011
Instituto Tecnológico de Oaxaca
Lic. en administración
Matemáticas aplicadas a la administración
1° semestre
Octubre 2011
Ejercicios página 10.
1. f(x)= 10x- 5 2. f(x) = - 5x + 6
f(x)= 10(0)- 5= -5 f(x) = - 5 (2) + 6 = 16
3. f (x) = [pic] 4.f (x) = mx + b
f (x) = [pic] f (x) = m(3) + b = 3m+b
5. f (x) = -3² +10 + 1 6. f (x) = 4x² ˗ x + 5
f (x) =-3 (0)² +10 (0) + 1 = 1 f (x) = 4(-2)² - (-2) + 5 =23
7. f (x) = 16 - x² 8. f (x) = rx² + 5x + t
f (x) = 16 – (3)² = 7 f (x) = r (-2)² + 5(-2) +t= 4r – 10 + t
9. f (x) = 25 10. f (x) = 125
11. f (x) = x³ 12. f (x) = -t³ +2 t²
f (x) = (a+b) ³ = a³+3a²b+3ab+b³ f (x) = -t³ +2 t²
13. f (x) = [pic] 14. f (x) = x⁴
f(x) = [pic]f (x) = (a+b) ⁴= a⁴+4a³b+4a²b+4ab+b⁴
15. f (x) = rx³ + 5x²+tx+u 16. f (x) = c
f (x) = r (3)³+5(3)²+t (3)+u= 27r+45+3t+u f (x) = c
Determinar dominio. (Página 10)
17. f (x) = 24 18. f (x) = - c
D = (⁻ [pic]⁺[pic]) D = (⁻ [pic]⁺[pic])
19.- f (x) = 16 - [pic]20. f (x) = [pic]
D = (⁻ [pic]⁺[pic]) D = (⁻ [pic]⁺[pic])
21. f (x) = [pic] 22. f (x) = [pic]
D = [4, ⁺[pic]) D = [-4, 4)
23.- f (x) = [pic] 24. f (x) = [pic]
D = [3, ⁺[pic]) D= { x│x , x ≠ 5 }
25. f (x) = [pic] 26. f (x) = [pic]
D = { x│x , x ≠ 5 } D = (⁻ [pic]⁺[pic])
27. f (x) = [pic] 28. f (x) = [pic]
D = (⁻[pic]⁺[pic]) D = (⁻ [pic]⁺[pic])
29. f (x) = [pic] 30. f (x) = [pic]
D = { x│x , x ≠ 0 } D = (⁻ [pic]⁺[pic])
31. f (x) = [pic]32. f (x) = [pic]
D = { x│x , x ≠ 3 } D = [ 9, ⁺[pic])
33. f (x) = [pic] 34.[pic]
D = [ 2, ⁺[pic]) D = {x│x, x ≠ 5}
Determinar Dominio y Rango.
35. C (x) = 25x +80000 D = [ 0 , 3200 ]
x = 0 C(x) = 80 00080 R = [ 0 , 80 000 ]
y = 0 0 = 25x+80000
25x= 80000
x= 3200 4 000
36. q = f (p) = 250000 – 25p 250 D = [ 0 , 10 000 ]
p = 0 q = 250000 R = [ 0 , 250 000 ]
q =0 250000-25p = 0
25p =250000
p = 10000 10 000
37. q = f (p)= 180000 – 40p 180 D = [ 0, 4500 ]
p = 0 q = 180000 R = [ 0 , 180 000 ]
q = 0 180000 – 40p = 0
40p = 180000
p = 4500
4000
38. P= 10 + [pic] D = [ 0, ⁺[pic])
| X | P= 10 + [pic] |
| 20 000 |40 |
|0 |10 |
|40 000...
Lic. en administración
Matemáticas aplicadas a la administración
1° semestre
Octubre 2011
Ejercicios página 10.
1. f(x)= 10x- 5 2. f(x) = - 5x + 6
f(x)= 10(0)- 5= -5 f(x) = - 5 (2) + 6 = 16
3. f (x) = [pic] 4.f (x) = mx + b
f (x) = [pic] f (x) = m(3) + b = 3m+b
5. f (x) = -3² +10 + 1 6. f (x) = 4x² ˗ x + 5
f (x) =-3 (0)² +10 (0) + 1 = 1 f (x) = 4(-2)² - (-2) + 5 =23
7. f (x) = 16 - x² 8. f (x) = rx² + 5x + t
f (x) = 16 – (3)² = 7 f (x) = r (-2)² + 5(-2) +t= 4r – 10 + t
9. f (x) = 25 10. f (x) = 125
11. f (x) = x³ 12. f (x) = -t³ +2 t²
f (x) = (a+b) ³ = a³+3a²b+3ab+b³ f (x) = -t³ +2 t²
13. f (x) = [pic] 14. f (x) = x⁴
f(x) = [pic]f (x) = (a+b) ⁴= a⁴+4a³b+4a²b+4ab+b⁴
15. f (x) = rx³ + 5x²+tx+u 16. f (x) = c
f (x) = r (3)³+5(3)²+t (3)+u= 27r+45+3t+u f (x) = c
Determinar dominio. (Página 10)
17. f (x) = 24 18. f (x) = - c
D = (⁻ [pic]⁺[pic]) D = (⁻ [pic]⁺[pic])
19.- f (x) = 16 - [pic]20. f (x) = [pic]
D = (⁻ [pic]⁺[pic]) D = (⁻ [pic]⁺[pic])
21. f (x) = [pic] 22. f (x) = [pic]
D = [4, ⁺[pic]) D = [-4, 4)
23.- f (x) = [pic] 24. f (x) = [pic]
D = [3, ⁺[pic]) D= { x│x , x ≠ 5 }
25. f (x) = [pic] 26. f (x) = [pic]
D = { x│x , x ≠ 5 } D = (⁻ [pic]⁺[pic])
27. f (x) = [pic] 28. f (x) = [pic]
D = (⁻[pic]⁺[pic]) D = (⁻ [pic]⁺[pic])
29. f (x) = [pic] 30. f (x) = [pic]
D = { x│x , x ≠ 0 } D = (⁻ [pic]⁺[pic])
31. f (x) = [pic]32. f (x) = [pic]
D = { x│x , x ≠ 3 } D = [ 9, ⁺[pic])
33. f (x) = [pic] 34.[pic]
D = [ 2, ⁺[pic]) D = {x│x, x ≠ 5}
Determinar Dominio y Rango.
35. C (x) = 25x +80000 D = [ 0 , 3200 ]
x = 0 C(x) = 80 00080 R = [ 0 , 80 000 ]
y = 0 0 = 25x+80000
25x= 80000
x= 3200 4 000
36. q = f (p) = 250000 – 25p 250 D = [ 0 , 10 000 ]
p = 0 q = 250000 R = [ 0 , 250 000 ]
q =0 250000-25p = 0
25p =250000
p = 10000 10 000
37. q = f (p)= 180000 – 40p 180 D = [ 0, 4500 ]
p = 0 q = 180000 R = [ 0 , 180 000 ]
q = 0 180000 – 40p = 0
40p = 180000
p = 4500
4000
38. P= 10 + [pic] D = [ 0, ⁺[pic])
| X | P= 10 + [pic] |
| 20 000 |40 |
|0 |10 |
|40 000...
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