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# Comprensión y alargamiento

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## Pilar Moreno

on 5 September 2014

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#### Transcript of Comprensión y alargamiento

Comprensión y alargamiento de funciones
Comprensión horizontal
Alargamiento Horizontal
0< a < 1
a
= 0. 6
Ejemplo:
Sen(π/6 • 0.6 = 0.30
Sen(π/3 • 0.6 = 0.58
Sen(π/2 • 0.6 = 0.80
Sen(2π/3 • 0.6) = 0.95
Sen(5π/6 • 0.6) = 1
Sen(π • 0.6) = 0.96
Sen(7π/6 • 0.6) = 0.80
Sen(4π/3 • 0.6) = 0.58
Sen(3π/2 • 0.6) = 0.30
Sen(5π/3 • 0.6) = 0

Casos
1er caso:

a• sen(x) : - a> 1 Alargamiento Vertical
- 0<a<1Comprension Vertical
2do Caso:

sen(x• a) : - a> 1 Comprension Horizontal
- 0<a<1 Alargamiento Horizontal
compresión y alargamiento de funciones
1er Caso:
Si a> 1 y lo multiplicamos por f(x) produce
alargamiento vertical.
Ejemplo:
Se multiplica a con sen(x)
a• sen(x)

a
debe ser mayor que 1
Sen(x•a)
a
>1 a= 3
Ejemplo:
Sen( π/6 • 3) = sen( π/2) = 1
Sen( π/3• 3) = sen(π) = 0
Sen(π/2• 3) = sen (3π/2) = -1
Sen(2π/3• 3) = sen( 2π) = 0
Sen(5π/6•3) = sen (5π/2) = 1
Sen(π•3) = 0
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