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Änderungen von Dokument BPE 4.2 Transformationen

Zuletzt geändert von Holger Engels am 2025/03/11 21:53
Von Version 50.1
bearbeitet von Holger Engels
am 2025/02/26 15:25
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 53.1
bearbeitet von Holger Engels
am 2025/03/03 20:57
Änderungskommentar: Neuen Anhang Transformationen aus Schaubild.ggb hochladen

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Inhalt
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22 22  [[Abbildung 1>>image:Exp-Funktion.png||style="float:right;width:250px"]]Gegeben ist der Graph der Funktion //f// mit {{formula}}f(x)=a\cdot2^{\pm x}+d{{/formula}}. Beschreibe, durch welche Transformationen der Graph von //f// aus dem Graphen der Funktion //g// mit {{formula}}g(x)=2^x{{/formula}} hervorgeht, und stelle den zugehörigen Funktionsterm auf.
23 23  {{/aufgabe}}
24 24  
25 -{{aufgabe id="Transformationen aus Funktionsterm" afb="I" kompetenzen="K4,K6" quelle="Niklas Wunder, Katharina Schneider" cc="BY-SA" zeit="12"}}
25 +{{aufgabe id="Skizzieren" afb="I" kompetenzen="K4" quelle="Niklas Wunder, Katharina Schneider" cc="BY-SA" zeit="12"}}
26 26  Skizziere jeweils das Schaubild.
27 27  (% class="abc" %)
28 28  1. {{formula}} f(x)=e^x-2 {{/formula}}
29 -1. {{formula}} g(x)=e^{3x}+2,5 {{/formula}}
30 -1. {{formula}} h(x)=-1,5e^x {{/formula}}
31 -1. {{formula}} i(x)=e^{-0,5x}+1 {{/formula}}
29 +1. {{formula}} g(x)=-e^{3x}+2 {{/formula}}
30 +1. {{formula}} h(x)=2e^{-x} {{/formula}}
31 +1. {{formula}} i(x)=-e^{-0,5x}+1 {{/formula}}
32 32  {{/aufgabe}}
33 33  
34 -{{aufgabe id="Asymtoten bestimmen" afb="I" kompetenzen="K4" quelle="Niklas Wunder, Katharina Schneider" cc="BY-SA" zeit="2"}}
35 -Bestimme jeweils die Gleichung der Asymptoten.
36 -(% class="abc" %)
37 -1. {{formula}} f(x)=2 e^x-1,5 {{/formula}}
38 -1. {{formula}} h(x)=3^{-x}+6^{-x} {{/formula}}
39 -{{/aufgabe}}
40 -
41 41  {{aufgabe id="Analogie 1" afb="II" kompetenzen="K1,K4,K5" quelle="Elke Hallmann" cc="BY-SA" zeit="5"}}
42 42  Gegeben sind die Schaubilder //K,,f,,// und //K,,g,,// und die Funktionsterme {{formula}}f(x)=a\cdot2^x{{/formula}} und {{formula}}g(x)=2^{x-c}{{/formula}}.
43 43  [[image:exp f.svg||style="margin:8px;width:360px"]] [[image:exp g.svg||style="margin:8px;width:360px"]]
Transformationen aus Schaubild.ggb
Author
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1 +XWiki.holgerengels
Größe
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1 +65.1 KB
Inhalt
Transformationen aus Schaubild.svg
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Größe
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