Graficar y analizar el dominio, el recorrido, funciones lineales utilizando TIC. Ref. M.5.1.20. [br]

O.M.5.2. Producir, comunicar y generalizar información, de manera escrita, verbal, simbólica, gráfica y/o tecnológica, mediante la aplicación de conocimientos matemáticos y el manejo organizado, responsable y honesto de las fuentes de datos, para así comprender otras disciplinas, entender las necesidades y potencialidades de nuestro país, y tomar decisiones con responsabilidad social

[size=150]Vamos a poner[/size][size=150] a tu alcance una serie de recursos: videos, textos, aplicaciones de Geogebra, juntos todos ellos conformarán lo que llamamos un [color=#ff0000]objeto de aprendizaje[color=rgb(102, 102, 102)]. Es importante que revises los mismos y realices las actividades... al final, la idea es componer [color=rgb(102, 102, 102)]todo junto, el concepto de [color=#1155Cc]función lineal[/color][/color][/color][/color][/size]

[size=150]Hemos comenzado por dos ideas base: 1) [color=#ff0000]La noción de curva, para acercarnos a la idea de [b]función[/b][color=#000000] y 2) [color=#0000ff]el hecho de ser la función lineal [b]la función más sencilla[/b][color=#000000], esto podría ponernos en un camino... de hecho, podríamos tratar de relacionar la función más sencilla con el polígono más sencillo: [color=#783F04]el triángulo[color=#000000].[br]Lo que haremos a continuación es poner en relación a la curva rectilínea, forma gráfica de la función lineal, con un grupo específico de los triángulos: [color=#980000]los triángulos rectángulos[color=#000000], esto es, aquellos triángulos con un ángulo recto.[br][img]data:image/png;base64,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[/img][br][/color][/color][/color][/color][/color][/color][/color][/color][/size]

[size=150]En el applet de arriba, al mover el punto [color=#1e84cc]B[color=rgb(102, 102, 102)] [color=rgb(102, 102, 102)]obtienes diferentes triángulos rectángulos, con distintos valores de [color=#980000]a[color=rgb(102, 102, 102)], [color=#980000]b[color=rgb(102, 102, 102)] y [color=#980000]c[color=rgb(102, 102, 102)]. Todos estos diferentes triángulos tienen una relación, lo que llamamos [color=#980000]un invariante[color=rgb(102, 102, 102)], algo que no cambia a pesar que cambian los triángulos: [color=#0000ff]conservan los cocientes de las longitudes de sus lados[color=rgb(102, 102, 102)], y esto es un descubrimiento fantástico, ya que nos pone en contacto con la noción de [color=#980000]semejanza[color=rgb(102, 102, 102)], dándonos una idea de la utilidad de la geometría... imagina como esto tuvo especial utilidad en civilizaciones como la del Antiguo Egipto, cuya vida material dependía de la organización racional de[color=rgb(102, 102, 102)]l cultivo de la tierra.[br][br]EL valor 0,91[color=rgb(102, 102, 102)], obtenido al dividir [color=#980000]b[color=rgb(102, 102, 102)] entre [color=#980000]a[color=rgb(102, 102, 102)], nos da una [color=rgb(102, 102, 102)]información interesante y muy útil para entender a las funciones lineales: [color=#0000ff]nos da información sobre la "inclinación" del segmento AC, de la hipotenusa del triángulo[color=rgb(102, 102, 102)].[br][br]Ahora... [color=#980000]¿Por qué la información sobre la inclinación de un segmento nos es importante?[/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/color][/size]

[size=150]Una curva, lo dijimos al principio, podría entenderse como un trazo en el plano cartesiano, en el que, cada vertical corta al trazo en uno y sólo un punto. Las funciones lineales, cuyas gráficas son lineas rectas que pasan por el origen (el centro del sistema de coordenadas), son el ejemplo más sencillo de curvas y son, también lo dijimos, el caso más sencillo de funciones... veamos más...[br][br]De estas nociones sencillas nos interesa pasar al siguiente nivel: [color=#000000]entender qué se entiende por "expresión analítica" de una función[color=rgb(102, 102, 102)].[/color][/color][br][br][color=#980000]La "forma analítica" de una función [/color]es la expresión [color=#0000ff]en términos de operaciones[color=rgb(102, 102, 102)] que muestra explícitamente las variables, parámetros[color=rgb(102, 102, 102)] y relaciones que "resumen" a la función en una identidad[/color][/color][/color].[br] [/size]

[size=150]Observemos la siguiente imagen:[br][br][img]data:image/png;base64,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[/img][br][br]Claramente... podemos observar... [color=#980000]una recta, la curva que expresa una función lineal...[br][color=rgb(102, 102, 102)]Ahora... [color=rgb(102, 102, 102)]apliquemos sobre nuestra curva lo [color=rgb(102, 102, 102)]observado con los triángulos...[br][br][img]data:image/png;base64,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[/img][br][br]Dibujamos, convenientemente este triángulo (usando el hecho de la sem[color=rgb(102, 102, 102)]ejanza), para obtener información sobre [color=rgb(102, 102, 102)]la inclinación del segmento AC (observese que la inclinación de AC, es... la inclinación de toda la curva)... calculando [color=#980000]b/a[color=rgb(102, 102, 102)] obtenemos el valor 3...[br][br]Lo interesante aquí, es que, toda la gráfica, cualquier valor de la curva dibujada puede obtenerse con la expresión [math]y=3x[/math], y esto [color=rgb(102, 102, 102)]es algo importante, porque en este caso, toda la gráfica se corresponde con esta relación.[/color][/color][/color][/color][/color][/color][/color][/color][/color][/size]

[size=150]Podemos decir que estamos en condiciones de entender el concepto de [b][color=#980000]función lineal[/color][/b][color=#980000][color=rgb(102, 102, 102)], y los ejemplo anteriores tuvieron como objeto preparar la [color=rgb(102, 102, 102)]dicha comprensión:[br][br][color=#0000ff]Una función lineal es una expresión de la forma [math]y=nx[/math], o [math]f\left(x\right)=nx[/math], donde [math]x[/math] se conoce como [b]variable independiente[/b] y la variable [math]y[/math] ([math]f\left(x\right)[/math]) se comprende [b]dependiente de los valores que [math]x[/math] asuma[/b][color=rgb(102, 102, 102)].[br][br]El siguiente video podría ser últil...[/color][/color][/color][/color][/color][/size]

Realiza la grafica de la de la siguiente función.[br][br]f(x)=2x+3[br][br]Realizar la tabla de valor con 3 gráficos.[br]