Greene Alexander
07/23/2023 · Elementary School

Explica cuál sería el resultado de una compresión vertical en la función exponencial \( h(x) = 5^x \) cuando se multiplica por \( \frac{1}{2} \).

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Cuando se multiplica la función exponencial \( h(x) = 5^x \) por \( \frac{1}{2} \), se aplica una compresión vertical de factor \( \frac{1}{2} \). Esto significa que cada valor de y en la gráfica original se reduce a la mitad en la nueva gráfica \( g(x) = \frac{1}{2} \cdot 5^x \). La gráfica de \( g(x) \) será más baja que la de \( h(x) \) para todos los valores de x, manteniendo la naturaleza exponencial de la función pero a la mitad de la altura vertical.

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