2.6 Funciones escalonadas. (parte por parte)

Una función definida a trozos es aquella cuyo dominio está dividido en intervalos disjuntos, y cada intervalo de la función viene dada por expresiones matemáticas distintas.[justify] [/justify]Estas funciones son muy útiles en la vida diaria y las usamos frecuentemente aun sin saberlo.[br][br]Por ejemplo el pago de la tarifa eléctrica puede estar dado por una función escalonada, ya que los precios varían de a cuerdo al consumo.[br][br][img]data:image/png;base64,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[/img][br]Observa la siguiente grafica de la función.

Information: 2.6 Funciones escalonadas. (parte por parte)