[b][i]Objetivo: [/i][/b] Haciendo uso del applet de GeoGebra identificar los elementos básicos de una función sinusoidal: Amplitud, Frecuencia y Nivel de referencia de la función
[b][i]Indicaciones[br][/i][/b][br]a) Haciendo uso del applet oprimir el icono[br] [img]data:image/png;base64,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[/img] [br]Observar la grafica y determinar que es lo representa la amplitud de la función senoidal.[br][br]b) Haciendo uso del icono [br][img]data:image/png;base64,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[/img][br]detener el elemento que se activo en el inciso anterior.[br][br]c) a) Haciendo uso del applet oprimir el icono[br][img]data:image/png;base64,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[/img][br]Observar la grafica y determinar que es lo representa la frecuencia de la función senoidal.[br][br]d) Haciendo uso del icono [br][img]data:image/png;base64,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[/img][br]detener ele elemento que se activo en el inciso anterior.[br][br]e) Haciendo uso del applet oprimir el icono[br] [img]data:image/png;base64,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[/img][br]Observar la grafica y determinar que es lo representa el nivel de referencia de la función senoidal.[br][br]f) Haciendo uso del icono [br][img]data:image/png;base64,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[/img][br]detener ele elemento que se activo en el inciso anterior.[br]
1.- Dada la función senoidal f(x) = asen(bx) + c indique que elemento representa la amplitud de la función.
2.- Dada la función senoidal f(x) = asen(bx) + c indique que elemento representa la frecuencia de la función.
3.-[br]a) Haciendo uso del siguiente plano cartesiano (fondo verde) construir a mano alzada la grafica de la función: [br][size=100][size=150][color=#ff0000] f(x) =[b] 2[/b]sen([b]3[/b]x) + [b]1[br][/b][/color][/size][/size][br]b) Haciendo uso del applet de esta actividad construir la grafica de la función, comparar ambas graficas y expresar las diferencias y similitudes.[br][br]