Ellis Schofield
07/29/2024 · Elementary School

2) Dada la función \( f: R \rightarrow R / 2 x-\frac{2}{3} y=1 \) a) Indica ordenada al origen y pendiente. b) Representa gráficamente en un sistema de coordeandas cartesianas. c) Justifica si es creciente, decreciente o constante. d) Calcula el cero o raíz. e) Halla: i) \( f(-1)=\ldots \) ii) \( x \) sabiendo \( f(x)=3 \) f) Escribe la ecuación de una recta paralela a la dada.

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a) La pendiente es 3 y el intercepto en el eje y es \( -\frac{3}{2} \). b) Representa la recta \( y = 3x - \frac{3}{2} \) en el sistema de coordenadas cartesianas. c) La función es creciente. d) El cero de la función es \( x = \frac{1}{2} \). e) i) \( f(-1) = -\frac{9}{2} \) ii) \( x = \frac{3}{2} \) cuando \( f(x) = 3 \). f) La ecuación de una recta paralela es \( y = 3x + b \), donde \( b \) es cualquier número real.

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