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Zuletzt geändert von Martin Stern am 2026/02/27 13:45
Von Version 68.1
bearbeitet von kbach
am 2026/02/27 12:16
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Auf Version 61.2
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am 2026/02/27 11:38
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93 93  
94 94  {{/aufgabe}}
95 95  
96 -{{aufgabe id="Zusammengesetzte Funktion" afb="II" kompetenzen="K4,K5" quelle="Holger Engels, Karolina Bach, Edyta Rethfeldt" zeit="10" cc="by-sa" tags=""}}
96 +{{aufgabe id="Zusammengesetzte Funktion" afb="II" kompetenzen="K4,K5" quelle="Holger Engels, Karolina Bach, Edyta Rethfeldt" zeit="" cc="by-sa" tags=""}}
97 97  Bestimme die Funktionsgleichung für die dargestellte zusammengesetzte Funktion.
98 98  [[image:Sinus verknüpft.svg||style="width:500px;margin:auto"]]
99 99  {{/aufgabe}}
100 100  
101 -{{aufgabe id="Parameter bestimmen" afb="II" kompetenzen="K5" quelle="Karolina Bach" zeit="8"}}
102 -Gegeben ist die Funktion //f// mit der Funktionsgleichung {{formula}}f(x)=a e^{kx}(x-c){{/formula}}, welche die Koordinatenachsen in {{formula}}S_{x}(-2|0){{/formula}} und {{formula}}S_{y}(0|6){{/formula}} schneidet und durch den Punkt {{formula}}P(1|1){{/formula}} verläuft. Bestimme die Parameter a,k und c.
101 +{{aufgabe id="Parameter bestimmen" afb="II" kompetenzen="K5,K1" quelle="Karolina Bach" zeit="8"}}
102 +Gegeben ist die Funktion //f// mit der Funktionsgleichung {{formula}}f(x)=a\e{kx}(x+c){{/formula}}, welche die Koordinatenachsen in S_{x}(-2|0) und S_{y}(0|6) schneidet und für x\xrightarrow +\infty die x-Achse als Asymptote besitzt. Zusätzlich ist bekannt, dass die Funktion durch den Punkt P(1|1) verläuft. Bestimme die Funktionsgleichung.
103 103  {{/aufgabe}}
104 104  
105 105  {{seitenreflexion bildungsplan="5" kompetenzen="4" anforderungsbereiche="5" kriterien="4" menge="5"/}}
ParameterBestimmen.ggb
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1 -XWiki.kbach
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ParameterBestimmen.svg
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1 -XWiki.kbach
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