10b 6.11: Sinusfunktion mit Parametern

Wiederholung Funktionen
[b]Eine Funktion ist eine eine Beziehung zwischen zwei Mengen, die [br]jedem Element der einen Menge (Funktionsargument, unabhängige Variable, [br]x-Wert) genau ein Element der anderen Menge (Funktionswert, abhängige [br]Variable, y-Wert) zuordnet. Kurz: Jeder x-Wert aus der Definitionsmenge einer Funktion hat einen zugehörigen y-Wert[/b].[br][br][b]Mit der Definitionsmenge beantwortest du die Frage: Welche x-Werte darf ich in die Funktion einsetzen? [/b][br][b][br]Die Wertemenge ist die Menge aller möglichen Zahlen, die für y bzw. f(x) herauskommen können, wenn du jede Zahl der Definitionsmenge für x in die Funktion einsetzt.[/b][br][br]Hat [b]ein[/b] x-Wert [b]zwei[/b] y-Werte, handelt es sich [b]nicht[/b] um eine Funktion. Wichtig ist also, dass jedes Element im Definitionsbereich (x-Achse) nur [b]ein[/b] zugehöriges Element im Wertebereich (y-Achse) haben darf. Das Ergebnis von Funktionen muss also immer [b]eindeutig[/b] sein.
Manipulation von Grundfunktionen
Du kannst aus einer alten Funktion f(x) eine [b]neue Funktion g(x)[/b] machen! Dazu veränderst du einfach die alte Funktion: Du kannst sie zum Beispiel verschieben, stauchen, strecken oder spiegeln. Das nennst du auch manipulieren.[br][br]Dabei ändern sich auch die Definitionsmenge D (Werte, die du für x einsetzen darfst) und die Wertemenge W (Werte, die du für y einsetzen darfst). Den neuen Definitions- und Wertebereich nennst du dann [b]D[sub]g[/sub][/b] und [b]W[sub]g[/sub][/b]. Du sagst dann:[i][br][img]data:image/png;base64,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[/img][/i]
Einfluss von gewissen Parametern auf die Sinusfunktion
Erkunde mit dem CAS in Gruppenarbeit, wie man die Standardsinusfunktion sin(x) mit einem hinzugefügten Parameter verändern kann. Gehe auch auf den Wertebereich ein. Schreibe so mit, dass du Person das Ergebnis aus der Gruppenarbeit vorstellen kannst.[br][br]Gruppe A: Streckung des Graphens in y-Richtung[br]Gruppe B: Verschiebung an der x-Achse[br]Gruppe C: Verschiebung an der y-Achse
[b]Einfluss von gewissen Parametern auf die Sinusfunktion [br]f(x) = sin(x)[br][br]A) Strecken in y-Richtung mit dem Faktor a: g(x)=a*f(x)=a*sin(x)[br][br]Alle Funktionswerte werden mit a multipliziert. Dadurch wird der Graph von f mit dem Faktor |a| gestreckt. Ist a<0, so wird zusätzlich noch an der x-Achse gespiegelt. Die Amplitude (maximaler Funktionswert der periodischen Funktion) verändert sich und hat den Wert |a|.[br][br][br]B) Verschieben um c parallel zur x-Achse: [br]g(x)=f(x-c)=sin(x-c)[br][br]Positive Werte von c verschieben den Graphen nach rechts, negative Werte von c verschieben ihn nach links. [br][br][br][br]C) Verschieben um d parallel zur y-Achse:[br]g(x)=f(x)+d=sin(x)+d[br][br]Positive Werte von d verschieben den Graphen nach oben, negative Werte von d verschieben ihn nach unten.[br][/b]

Information: 10b 6.11: Sinusfunktion mit Parametern