Das Funktionsmikroskop

Wenn man den Graphen einer Funktion stark vergrößert, so stellt man fest, dass man den[br]Graphen nicht mehr von einer linearen Funktion unterscheiden kann.[br][br][br]Von linearen Funktionen kann man die Steigung bestimmen.[br][br][br]Unter der Steigung einer beliebigen Funktion an einer Stelle [math]x_0[/math] kann man sich[br]vorstellen, dass man den Funktionsgraphen an dieser Stelle so stark vergrößert,[br]dass er nicht mehr von einer linearen Funktion zu unterscheiden ist und man[br]dann die Steigung an dieser Stelle bestimmt.[br][br][br]Schieben Sie den Punkt auf der Parabel an eine beliebige Stelle und vergrößern Sie den[br]Ausschnitt, indem sie den Schieberegler bewegen.[br][br][br]Wenn Sie den Ausschnitt genügend stark vergrößert  haben,[br]erscheint ein Steigungsdreieck.[br][br][br]Zur[br]Erinnerung:[br][br][br][br][img]data:image/png;base64,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[/img][br][br]Wenn man die Steigung einer linearen Funktion am Grafen bestimmen will, [br][list][*]sucht man sich zunächst 2 Punkte auf dem Graphen, die man gut ablesen kann.[/*][*]Mithilfe zweier Pfeile zeichnet man eine Verbindung zwischen den beiden Punkten.[/*][*]Die Länge der Pfeile liest man mithilfe der Achsen ab.[/*][/list][list=1][*]Hat der Pfeil die gleiche Richtung wie die Achse, so ist die Länge des Pfeils positiv[br]zu nehmen. [/*][*]Hat der Pfeil die entgegengesetzte Richtung, so ist die Länge des[br]Pfeils negativ zu nehmen.[/*][/list][list][*]Die Steigung bestimmt man, indem man die Länge des vertikalen Pfeils durch die Länge des[br]horizontalen Pfeils teilt.[br][br][br]In den beiden Beispielen:[br][/*][/list][math]m=\frac{2}{10}=\frac{1}{5}=0,2[/math][br][br][br][math]m=\frac{-7}{3}=-2,\overline{3}[/math][br][br][br] [br][br][br]
Aufgabe:
Verschieben Sie den Punkt auf dem Grafen der quadratischen Funktion an unterschiedliche[br]Stellen x_0 , vergrößern sie[br]anschließend den Ausschnitt des Grafen, bis sie das Steigungsdreieck sehen, Berechnen[br]Sie an dieser Stelle die Steigung und tragen Sie anschließend x_0 und die[br]Steigung in die folgende Tabelle ein.[br][br][br]Damit die Wertepaare in der Grafik erscheinen, müssen Sie daraus eine Punktliste erzeugen. Dazu markieren Sie die Werte, wählen das Werkzeug "Punktliste", geben der Punktliste einen beliebigen Namen. Anschließend erscheinen die Punkte im Koordinatensystem. (Sie Animation unter dieser Aufgabe)[br][br][br]Bestimmen Sie die Funktionsgleichung einer Funktion, deren Graph durch diese Punkte[br]verläuft.[br][br][br]
Führen Sie die gleiche Aufgabe auch noch einmal mit dem Graphen der Funktion [br][math]f(x)=x^3[/math] durch.[br]Können Sie auch für diese Funktion die Funktionsgleichung angeben?

Tiedot: Das Funktionsmikroskop