[size=85]Practicando con los deslizadores encontrarás [b]varios tipos de funciones [/b]representadas por sus diferentes expresiones algebraicas. Tu objetivo es encontrar la que corresponda a la gráfica roja.[br][br][color=#0000ff]Me explico...[br][table][tr][td][color=#000000][size=85][size=85]Paso 1[/size][/size][/color][/td][td][size=85][color=#0000ff][color=#666666]Utiliza el deslizador derecho para elegir un modelo de función[/color][/color][/size][/td][/tr][tr][td][color=#000000][size=85][size=85][size=85]Paso 2[/size][/size][/size][/color][/td][td][size=85][color=#0000ff][color=#666666]Mueve los deslizadores (a, b, c), con el ratón o las teclas + -, para encontrar los coeficientes que correspondan[/color][/color][/size][/td][/tr][tr][td][color=#000000][size=85][size=85][size=85]Paso 3[/size][/size][/size][/color][/td][td][color=#666666]Elige un nivel, empieza desde el 1 y sigue...[/color][/td][/tr][/table][table][tr][td][color=#666666][color=#000000]Siguientes pasos...[/color][br][/color][/td][td][color=#666666]Sin cambiar de nivel puedes probar diferentes tipos de gráfica con sólo mover el deslizador al nivel previo[/color][br][/td][/tr][tr][td][br][/td][td][color=#666666]Con un mismo tipo, prueba a moverte entre niveles y poner a prueba tus habilidades[br][/color][/td][/tr][/table][table][tr][td][size=85][color=#000000][size=50][br]P.D.[/size] [/color][size=50][color=#000000]Este estupendo juego ha sido construido por [/color][color=#999999][color=#0000ff]Rafael Losada Liste[/color][color=#000000] y está incluido en el [url=http://geogebra.es/gauss/]Proyecto Gauss[/url][/color][/color].[/size][/size][br][/td][/tr][/table][/color][br][/size]

[color=#0000ff][size=85][color=#000000]Viendo el deslizador derecho, [/color]¿ Sabrías decirme... ?[/size][/color][br][list][*][color=#666666][size=85]Los diferentes tipos que hay de funciones[/size][/color][/*][*][color=#666666][size=85]Las expresiones algebraicas (fórmulas) correspondientes a cada tipo[/size][/color][/*][/list][table][tr][td][size=50]Pista: no todas las expresiones del deslizador derecho pertenecen a tipos distintos, algunas son variantes..........[/size][/td][/tr][/table]

[size=85]En esta nueva actividad podréis seguir practicando con funciones, pero casi todas serán diferentes a las anteriores.[br]Puedes mover los deslizadores para obtener diferentes gráficas de un mismo tipo. Te encontrarás con nuevas funciones como:[table][tr][td]Irracionales[/td][td][math]\sqrt{ax}[/math] [math]\sqrt{-\left(ax\right)}[/math] [math]-\sqrt{ax}[/math] [math]-\sqrt{-\left(ax\right)}[/math][/td][/tr][tr][td]Logarítmicas[br][/td][td][math]log_cbx[/math][/td][/tr][tr][td]Racionales[/td][td][math]\frac{ax+b}{cx+n}[/math] [math]\frac{ax+b|}{cx^2+n}[/math][/td][/tr][/table][br]Fíjate bien como afecta un signo negativo, [color=#0000ff]¿Podrías decirme como hace cambiar la función?[br][list][*][color=#666666][size=85]Un signo negativo antes de la raiz o dentro del radicando[/size][/color][/*][*][color=#666666][size=85]Cuando en logaritmos y exponenciales la base está entre 0 y 1[/size][br][/color][/*][*][color=#666666][size=85]Si la función exponencial tiene exponente negativo[/size][/color][/*][*][color=#666666][size=85]Experimenta con los deslizadores para ver los diferentes tipos de asíntotas y de gráficas de las racionales[br][/size][/color][/*][/list][color=#000000][size=50][table][tr][td]Pista: mueve los deslizadores, observa los cambios y anota la expresión de la función que aparece en azul.[/td][/tr][/table][/size][/color][/color][/size]

[size=85]Cuando la musa de las matemáticas está caprichosa y no se decide por ningún sabor, aparecen las funciones a trozos... ¡para qué elegir si me puedo quedar con ambas! [br][br]Las [b]funciones a trozos[/b] vienen dadas por diferentes expresiones algebraicas, cada una en un intervalo definido por distintos valores de X.[/size][size=85] Es cuestión de dibujar en cada intervalo la gráfica correspondiente... y ya está ![br]Observa y verás en la gráfica siguiente...[/size]

[size=85][size=85]Pero la cosa ya no es tan fácil cuando nos encontramos con un tipo particular de funciones, como las de [b]valor absoluto[/b].[br][size=85][size=85][size=85]El valor absoluto de una función [math]f\left(x\right)[/math] se define como:[br][left][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][img 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funciones cambian de signo para resultados negativos de mientras que no experimentan cambio cuando son positivos. La variable Y nunca adquiere valores negativos, y por ello su gráfica nunca está por debajo del eje X.[br][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/left][/size][/size][/size][/size][/size][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][size=85][b][color=#0000ff][size=85][size=85]¿Cómo pasar de un valor absoluto a una función a trozos? [/size][/size][/color][/b]En este caso no tenemos las expresiones ni los intervalos que corresponden a cada una, los tendremos que calcular. [br][size=50]Pista: como Dorothy, sigue el camino de baldosas amarillas... o sea, utiliza la información que te aporta la actividad siguiente donde encontrarás las claves para solucionar este gran enigma... [br][br][/size][/size]Y continúa experimentando con los deslizadores de la siguiente para poner a prueba lo que has aprendido..[br]Tendrás que [b]hacer capturas de las gráficas que has probado[/b] y [b]en papel tendrás que resolver varios casos [/b]de valor absoluto que luego comprobarás con las actividades.[/size][/size][/size][/size][/size][br][/size][/size][/size][/size][/size]