8.2 Función de proporcionalidad inversa o Hipérbola

UN CASO ESPECIAL DE FUNCIONES RACIONALES
Si el polinomio del numerador es de grado 0 y el del denominador grado 1, tenemos la llamada FUNCIÓN DE PROPORCIONALIDAD INVERSA o también llamada HIPÉRBOLA:[br][br]El caso más sencillo es 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[/img]
RESPONDE A ESTAS PREGUNTAS
¿Cuantas asíntotas hay?[br][br]Escribe las ecuaciones de lass mismas[br][br]¿Qué ángulo forman las asíntotas?
FUNCIÓN DE PROPORCIONALIDAD INVERSA
Hemos dicho que el numerador es un polinomio de grado cero, por lo que en la práctica, la ecuación general de la función de proporcionalidad inversa es:[br][br][math]y=\frac{k}{x}[/math]
MANIPULA TÚ MISMO
Como en funciones anteriores, manipula las transformaciones que se le pueden hacer a la función de proporcionalidad inversa o hipérbola
RESPONDE A LA SIGUIENTE PREGUNTA
¿A qué transformación corresponde cada botón deslizante?

Informacja: 8.2 Función de proporcionalidad inversa o Hipérbola