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Zuletzt geändert von Martin Stern am 2026/02/27 13:45
Von Version 37.2
bearbeitet von Holger Engels
am 2026/02/11 15:43
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 48.1
bearbeitet von Nila Nurschams
am 2026/02/26 17:23
Änderungskommentar: Es gibt keinen Kommentar für diese Version

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Dokument-Autor
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1 -XWiki.holgerengels
1 +XWiki.nilanurschams
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69 69  [[image:Slalom.svg||style="width:500px;margin:auto"]]
70 70  {{/aufgabe}}
71 71  
72 +{{aufgabe id="Fehlende Eigenschaft finden" afb="" kompetenzen="" quelle="Karolina Bach, Edyta Rethfeldt, Nila Nurschams" zeit="" tags=""}}
73 +Gegeben ist das folgende Schaubild einer ganzrationalen Funktion 4. Grades.
74 +
75 + [[image:Theos_Problem.svg||style="width:500px;margin:auto"]]
76 +Theo möchte zu diesem Graphen einen Funktionsterm bestimmen.
77 +Er wählt den allgemeinen Ansatz
78 +
79 + {{formula}}f(x)=ax^4+bx^3+cx^2+dx+e{{/formula}}
80 +
81 + und stellt folgendes lineares Gleichungssystem auf:
82 +
83 +{{formula}}\left(\begin{array}{ccccc|c}
84 + 0 &0 &0&0&1&1\\
85 + 1 &1 &1&1&1&3\\
86 + 0 &0 &0&1&0&0\\
87 + 4 &3 &2&1&0&0
88 +\end{array}\right)
89 + {{/formula}}
90 +
91 +Er kommt mit seiner Rechnung leider nicht voran.
92 +
93 +Beurteile, ob alle erkennbaren Eigenschaften berücksichtigt wurden. Löse die Aufgabe mit dem korrigierten Ansatz.
94 +{{/aufgabe}}
95 +
96 +{{aufgabe id="Zusammengesetzte Funktion" afb="I" kompetenzen="K2,K4,K5" quelle="Holger Engels, Karolina Bach, Edyta Rethfeldt, Nila Nurschams" zeit="" cc="by-sa" tags=""}}
97 +Entwurf!!
98 +Stelle den Funktionsterm für die dargestellte zusammengesetzte Funktion auf.
99 +[[image:Sinus verknüpft.svg||style="width:500px;margin:auto"]]
100 +{{/aufgabe}}
101 +
72 72  {{seitenreflexion/}}
Sinus verknüpft.ggb
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Sinus verknüpft.svg
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