Die kennzeichnende Eigenschaft einer linearen Funktion ist, dass sich der Funktionswert bei jedem x-Schritt immer um den gleichen Wert ändert.[br][br]Überlegen und argumentieren Sie: Welche der folgenden Graphen zeigen alle eine lineare Funktion?[br][br][img]data:image/png;base64,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[/img]
Weil sich der Funktionswert bei einer linearen Funktion bei jedem x-Schritt immer um den gleichen Wert ändert, ist der Graph einer linearen Funktion immer eine Gerade.[br][br]Die beiden Parameter einer linearen Funktion, d.h. der Zuwachs pro x-Schritt und der Anfangswert,[br]bestimmen die Steigung und die Lage der Geraden.[br][br]Finden Sie heraus, wo sich die Werte der Parameter a und b im Graphen einer linearen Funktionen wiederfinden.
Üben Sie mit der nachfolgenden App, den Zuwachs pro x-Schritt am Graphen einer linearen Funktion abzulesen:
Der Zuwachs pro x-Schritt a gibt die Änderung des Funktionswertes pro x-Schritt an und bestimmt daher die Steigung der Geraden. Genauer gibt er an, um wie viel die Gerade bei EINEM Schritt nach rechts ansteigt bzw. abfällt.[br][br]Der Zuwachs pro x-Schritt lässt sich nicht immer exakt ablesen. Zum Beispiel, wenn die Gerade bei einem Schritt nach rechts nicht um einen ganzzahligen Wert ansteigt oder wenn die Veränderung in EINEM [br]x-Schritt gar nicht abgelesen werden kann.[br][br]In diesem Fall muss man den Zuwachs aus der Gesamtänderung Δy des Funktionswertes[br]in einem Intervall und der Breite Δx des Intervalls berechnen:[br]Man berechnet den Zuwachs PRO x-Schritt, indem man die Gesamtänderung Δy des Funktionswertes teilt durch die Anzahl Δx der x-Schritte, in der diese Änderung passiert. [br]Es ist also: Zuwachs pro x-Schritt [math]a=\frac{\Delta y}{\Delta x}[/math][br][br]Δx und Δy kann man am Graphen leicht durch Einzeichnen eines geeigneten "Steigungsdreiecks" ermitteln:[br]Hier haben wir das Steigungsdreieck und damit Δy und Δy so gewählt, dass Δy und Δy ganzzahlige Werte annehmen:[br][br] [img]data:image/png;base64,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[/img][br]Üben Sie mit der nachfolgenden App, den Zuwachs pro x-Schritt an einem Graphen zu bestimmen, bei dem die Veränderung in EINEM x-Schritt nicht exakt abgelesen werden kann.
Mit dem nachfolgenden Applet trainieren Sie, zu einem vorgegebenem Zuwachs pro x-Schritt eine Gerade mit einer dazu passenden Steigung anzugeben.[br][br]Üben Sie, bis Sie die Gerade fünf Mal hintereinander richtig angegeben haben.
Schaffen Sie es nun, zu einer vorgegebenen Geraden die Funktionsgleichung der dazugehörigen linearen Funktion anzugeben?[br]Probieren Sie es mit der nachfolgenden App![br]Üben Sie solange, bis sie 10 Punkte erreicht haben.
Jetzt wird es etwas schwieriger![br]Bei der folgenden Aufgabe, geht es darum mit möglichst wenig "Schussbahnen" (Geraden) möglichst viele Eier zu treffen.[br]im Kern geht es also darum, zu zwei oder mehreren Punkten, die auf einer Linie liegen, die Funktionsgleichung derjenigen linearen Funktion zu ermitteln, deren Graph durch diese Punkte verläuft.