2.2 Función real de variable real y su representación gráfica.

[justify]A una función cuyo dominio sea un subconjunto de los números reales, la llamaremos función de variable real. A una función  cuyo  rango  sea  un  subconjunto  de  los  números reales,  es  decir,  una función cuyos  valores  sean  números  reales,  la  llamaremos  función  real. Así  que  con  el  término función  real de  variable  real   nos  referiremos  a  una  función  cuyo  dominio  es  un  subconjunto  de  los números reales,  que  toma  valores  reales.[b] [br][br][/b]La  notación de  funciones permite distinguir  la  variable dependiente  de  la  independiente,  y  se  expresa de la siguiente manera:[br][br][math]f\left(x\right)=3x+5[/math][br][br]donde f representa el nombre de la función (puede ser cualquier otra letra pero por convención se denota con la letra f) ; luego se escribe entre paréntesis la letra de la variable independiente x, y después del signo de igualdad = se escribe el resto del modelo matemático.[b] [br][br][/b]Evaluar una función significa encontrar el valor real que le corresponde a la variable dependiente, una vez asignado un valor a la variable independiente.[br][br]Existen tres maneras de representar e identificar las funciones: analítica, tabular y gráficamente. Cada una expresa la manera en que podemos visualizar los problemas reales utilizando símbolos, datos ordenados o gráficos.[br][/justify][br]á)  Analíticamente, representa el lenguaje matemático puro a través de símbolos y números que se expresan mediante una fórmula matemática. Ejemplo:[br][br][img]data:image/png;base64,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[/img][br][br]b)  Tabularmente, a través de un conjunto de pares ordenados (x, y).[br][br][table][tr][td][b]x[/b][b][/b][/td][td][b]y[/b][b][/b][/td][/tr][tr][td]-3 [/td][td]-1[/td][/tr][tr][td]-2[/td][td]0[/td][/tr][tr][td]-1[/td][td]1[/td][/tr][tr][td]0[/td][td]2[/td][/tr][tr][td]1[/td][td]3[/td][/tr][tr][td]2[/td][td]4[/td][/tr][tr][td]3[/td][td]5[/td][/tr][/table][br]c)  Gráficamente, es decir, a través del dibujo de los pares ordenados en el plano cartesiano o  en cualquier otro sistema de coordenadas. Gráficamente no representa una función si en la gráfica ésta es cruzada dos o más veces por una línea vertical.[br][br][img]data:image/png;base64,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[/img]

Information: 2.2 Función real de variable real y su representación gráfica.