Zimmerman Owen
03/03/2023 · High School

INDICA en cada una de las funciones racionales las ecuaciones de las asintotas, las intersecciones, los puntos estratégicos y con todos los datos, realiza la gráfica de là función. Comprueba utilizando un programa de cómputo especializado. \begin{tabular}{|c|c|c|c|}\hline Función & Asintotas & Intersecciones & Puntos estratégicos \\ \hline 1. \( y=\frac{x+3}{x-2} \) & & & \\ \hline 2. \( y=\frac{x+6}{x^{2}-9} \) & & & \\ \hline 3. \( y=\frac{x+1}{x^{2}+10 x+24} \) & & & \\ \hline 4. \( y=\frac{x^{3}-2}{x^{2}} \) & & & \\ \hline\end{tabular}

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1. \( y=\frac{x+3}{x-2} \): Asintota vertical: \( x=2 \); Intersección eje x: \( x=-3 \); Punto estratégico: \( x=-3 \). 2. \( y=\frac{x+6}{x^{2}-9} \): Asintotas verticales: \( x=3 \), \( x=-3 \); Intersección eje x: \( x=-6 \); Punto estratégico: \( x=-6 \). 3. \( y=\frac{x+1}{x^{2}+10x+24} \): Asintotas verticales: \( x=-4 \), \( x=-6 \); Intersección eje x: \( x=-1 \); Punto estratégico: \( x=-1 \). 4. \( y=\frac{x^{3}-2}{x^{2}} \): Asintota vertical: \( x=0 \); Intersección eje x: \( x=\sqrt[3]{2} \); Punto estratégico: \( x=\sqrt[3]{2} \).

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