Diagnose II Funktionale Grundvorstellungen

Dies ist ein Fragebogen um deinen Umgang mit Funktionen einzuschätzen.
Gegeben ist folgende Wertetabelle und zwei Funktionsgleichungen. Entscheide, welche der Gleichungen zu der Wertetabelle passt. 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[/img]
Welche der folgenden drei Punkte liegt auf dem Funktionsgraphen?
Wann ist der Fahrradfahrer am Schnellsten?
Gegeben ist der Graph der Funktion [math]f[/math] mit [math]f\left(x\right)=\frac{1}{x}[/math]. Wohin bewegt sich der Punkt [math]A[/math], wenn er auf dem Graphen der Funktion immer weiter in [math]x[/math]-Richtung wandert?
Wähle die Option aus, bei der die Funktionsgleichungen zu den Graphen der Funktionen passen.
Entscheide, welche der Optionen richtige Aussagen über die Graphen im untenstehenden Schaubild macht.
Wähle die richtige Beschreibung aus, wie der Graph der Funktion [math]g[/math] mit [math]g\left(x\right)=2x^3+2[/math] aus dem Graphen der Funktion [math]f[/math] mit [math]f\left(x\right)=x^3[/math] hervorgeht.
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Information: Diagnose II Funktionale Grundvorstellungen