Die allgemeine Sinusfunktion - Teil 1

Die Fahrt mit dem Riesenrad R[sub]1[/sub] lässt sich durch die Funktion r[sub]1[/sub]: x[math]\mapsto[/math]sin(x) modellieren.[br]Das Gestell des Riesenrads R[sub]2[/sub] ist um eine Längeneinheit (LE) höher als bei R[sub]1.[br][/sub]Bei Riesenrad R[sub]3[/sub] ist die betrachtete Gondel die Einstiegsgondel (ganz unten). 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[/img][br][br][br]Im Folgenden wollen wir untersuchen, …[br]… wie die [b]Funktionen[/b] r[sub]2[/sub] und r[sub]3[/sub] zu den Fahrten mit den Riesenrädern R[sub]2[/sub] bzw. R[sub]3[/sub] aussehen.[br]… wie die dazugehörigen [b]Funktionsgraphen [/b]verlaufen.[br]… welche [b]Parameter [/b]dabei eine Rolle spielen.[br][br][i]Rückblick: Die Riesenradfahrt mit R[sub]1[/sub] lässt sich durch die Sinusfunktion darstellen. [br]Dabei wird jedem x-Wert im Bogenmaß genau ein y-Wert (Sinuswert = Höhe der Gondel) zugeordnet, [br]hier im Intervall [0;4[/i][math]\pi[/math][i]] dargestellt.[/i]
Der Parameter d
Betätige den Schieberegler für den Parameter d mit d [math]\in[/math][-4;4].[br]Beobachte genau, wie sich der Graph der Sinusfunktion verändert.[br][i]Als Hilfe kannst du die "Ablesehilfe d" anklicken.[/i]
Erschließe dir anhand des angezeigten Funktionsterms und deines Vorwissens zu den Parametern quadratischer Funktionen, wie der Funktionsterm der Funktion g in Abhängigkeit des Parameters d lautet.
Der Parameter d verändert den Graphen der dir bekannten Sinusfunktion f: x[math]\mapsto[/math]sin(x).[br]Welchen Einfluss hat der Parameter d auf den Funktionsgraphen?[br][br]Der Parameter d bewirkt …
Der Parameter d beeinflusst daher …
Das Gestell des Riesenrads R[sub]2[/sub] ist um eine Längeneinheit (LE) höher als das Gestell bei R[sub]1[/sub]. [br][br]Überlege dir einen passenden Funktionsterm der Funktion r[sub]2[/sub] für eine Fahrt mit R[sub]2[/sub] und überprüfe dein Ergebnis im KOSY (= Koordinatensystem).
Zeichne den Funktionsgraphen der Funktion r[sub]2[/sub] (Riesenradfahrt mit R[sub]2[/sub]) farbig in das KOSY auf dem AB.[br]Überlege dir anhand des eingezeichneten Graphen, wie groß die Wertemenge ist.[br][br]Drücke ausgehend von deinen Ergebnissen die Wertemenge allgemein in Abhängigkeit des Parameters d aus. Trage deine Ergebnisse zum Parameter d auf dem AB ein.[br][br]__________________________________________________________________________________________________________________
Der Parameter c
Betätige den Schieberegler für den Parameter c mit c [math]\in[/math][-4;4].[br]Beobachte genau, wie sich der Graph der Sinusfunktion verändert.[br][i]Als Hilfe kannst du die "Ablesehilfe c" anklicken.[/i]
Erschließe dir anhand des unten angezeigten Funktionsterms und deines Vorwissens zu den Parametern quadratischer Funktionen, wie der Funktionsterm der Funktion h auf dem AB in Abhängigkeit des Parameters c lautet.
Der Parameter c verändert den Graphen der dir bekannten Sinusfunktion f: x[math]\mapsto[/math]sin(x).[br]Welchen Einfluss hat der Parameter c auf den Funktionsgraphen?[br][br]Der Parameter c bewirkt …
Bei R[sub]3[/sub] ist die betrachtete Gondel die Einstiegsgondel (ganz unten).[br][br]Überlege dir einen passenden Funktionsterm der Funktion r[sub]3[/sub] für eine Fahrt mit R[sub]3[/sub] und überprüfe dein Ergebnis im KOSY.
Der Parameter c beeinflusst daher …
Zeichne den Funktionsgraphen der Funktion r[sub]3[/sub] (Riesenradfahrt mit R[sub]3[/sub]) farbig in das KOSY auf dem AB.[br]Überlege dir anhand des eingezeichneten Graphen, wo die Nullstellen von r[sub]3[/sub] liegen.[br][br]Drücke ausgehend von deinen Ergebnissen die Nullstellen allgemein in Abhängigkeit des Parameters c aus. Trage deine Ergebnisse zum Parameter c auf dem AB ein.[br][br]__________________________________________________________________________________________________________________
Für Schnelle: Die Parameter c und d
Wir haben nun die beiden Parameter c und d einzeln sowie deren Einfluss auf den Graphen der Sinusfunktion untersucht.[br][br]Setzt man sozusagen die Parameter c und d in einer Funktionsvorschrift zusammen, [br]so entsteht eine neue Funktion k: x[math]\mapsto[/math]sin(x+c)+d.[br]Vergleiche den Funktionsterm der Funktion k mit dem Funktionsterm der Sinusfunktion f: x[math]\mapsto[/math]sin(x).[br][br]Wie groß sind die Parameter c und d bei der Sinusfunktion?
Untersuche, wie die Funktionsgraphen von Funktionen aussehen, die sowohl in x- als auch y-Richtung verschoben sind. Betätige hierfür die Schieberegler für die Parameter c und d mit c,d [math]\in[/math][-4;4].[br]Beobachte genau, wie sich der Graph der Sinusfunktion verändert.
Wähle für die Parameter c und d je einen festen Wert aus dem Intervall [-4;4].[br]Überlege dir dann dazu eine Fahrt mit einem "passenden" Riesenrad R[sub]4[/sub] mit diesen Eigenschaften.[br]Stelle eine Funktionsterm für die Fahrt mit R[sub]4[/sub] auf und interpretiere diesen im Sachzusammenhang, [br]indem du die Eigenschaften des Riesenrads R[sub]4[/sub] im Unterschied zu denen des Riesenrads R[sub]1[/sub] angibst.[br]Überprüfe anschließend dein Ergebnis im KOSY.
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Information: Die allgemeine Sinusfunktion - Teil 1