Zuletzt geändert von Holger Engels am 2025/10/15 06:54

Von Version 46.2
bearbeitet von Holger Engels
am 2025/10/13 12:18
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Auf Version 53.1
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Zusammenfassung

Details

Seiteneigenschaften
Inhalt
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30 30  
31 31  {{/aufgabe}}
32 32  
33 -{{aufgabe id="Funktionsgraph aus Eigenschaften" afb="II" kompetenzen=" " quelle="S.Kanzler, K.Fujan" cc="BY-SA" zeit="5"}}
33 +{{aufgabe id="Funktionsgraph aus Eigenschaften" afb="II" kompetenzen=" " quelle="S.Kanzler, K.Fujan" cc="BY-SA" zeit="10"}}
34 34  Über die Ableitungsfunktion {{formula}}f'(x){{/formula}} einer Polynomfunktion {{formula}}f(x){{/formula}} ist folgendes bekannt:
35 35  * {{formula}}f'(x){{/formula}} hat eine Extremstelle bei {{formula}}x=1{{/formula}}
36 36  * {{formula}}f'(-3)=f(3)=0{{/formula}}
37 37  * {{formula}}f'(x){{/formula}} ist an der Stelle {{formula}}x=-3{{/formula}} linksgekrümmt
38 -
38 +
39 39  (% class="abc" %)
40 40  1. Bestimme den minimalen Grad der Ableitungsfunktion {{formula}}f'(x){{/formula}}.
41 41  1. Skizziere ein passendes Schaubild der Ableitungsfunktion {{formula}}f'(x){{/formula}}.
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42 42  1. Ermittle dazu den Graph einer möglichen Funktion {{formula}}f(x){{/formula}}.
43 43  {{/aufgabe}}
44 44  
45 +{{aufgabe id="Weiterzeichnen Exponentialfunktion" afb="II" kompetenzen="K4" quelle="Simone Kanzler" zeit="5" cc="by-sa" tags=""}}
46 +Gegeben sind Ausschnitte der Schaubilder der Funktionen //f// und //f'//. Ergänze die beiden Schaubilder im Bereich {{formula}}[-3; 8]{{/formula}}.
47 +[[image:Weiterzeichnen e.svg||style="margin:auto; width:600px"]]
48 +{{/aufgabe}}
49 +
50 +{{aufgabe id="Weiterzeichnen Polynomfunktion" afb="II" kompetenzen="K4" quelle="Simone Kanzler" zeit="5" cc="by-sa" tags=""}}
51 +Gegeben sind Ausschnitte der Schaubilder der Funktionen //f// und //f'//. Ergänze die beiden Schaubilder im Bereich {{formula}}[-4; 4]{{/formula}}.
52 +[[image:Weiterzeichnen p.svg||style="margin:auto; width:600px"]]
53 +{{/aufgabe}}
54 +
45 45  {{seitenreflexion/}}
46 46  
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