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Funciones de primer grado

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Funciones de primer grado

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Trabajando con representación gráfica de función de primer grado

Created by

Santiago Diaz
Santiago Diaz
Uruguay

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Funciones de primer grado
 

Funciones de primer gradoOnline version

Trabajando con representación gráfica de función de primer grado

by Santiago Diaz
1 ¿Cual es la raíz de la función f(x)=2x-1? 2 ¿Cual es el punto que representa f(1)? 3 ¿Cual es el cuadrante III? 4 ¿Cual punto representa la ordenada en el origen? 5 ¿Cual es el punto que no pertenece a la función? 6 En 2x-1 ¿cual es el punto para el cual y=-3?

Explicación

La raíz es el punto donde la gráfica de la función corta al eje horizontal (eje X), cumpliendo que f(x) = 0. En este caso: f(x)=0 2x-1=0 2x=1 x=1/2 El punto buscado es (1/2,0)

Si x=1, sustituimos x en la expresión analítica de la función. f(1)=2.(1)-1=1. El punto buscado es (1,1). Gráficamente proyectamos x=1 sobre la recta.

Los cuadrantes se enumeran comenzando por el cuadrante superior derecho en sentido antihorario.

Si x=0, entonces f(0)=-1. El punto buscado es (0,-1)

Para saber si el punto (0,3) pertenece a la función debemos sustituir los valores de x e y en f(x)=2x-1 (recordar f(x)=y). y=2x-1, entonces sustituimos: 3=2.0-1 3=-1 lo cual es incorrecto, esto nos da la pauta de que el punto (0,3) no pertenece a la función.

Si y=-3, lo que estamos haciendo es: -3=2x-1, despejamos la x para obtener su valor. -2=2x -2/2=x x=-1 Lo cual coincide gráficamente con el punto (-1,-3).

 
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