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Zuletzt geändert von Holger Engels am 2025/03/31 21:42
Von Version 17.1
bearbeitet von Holger Engels
am 2024/09/27 20:22
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Auf Version 19.1
bearbeitet von Holger Engels
am 2024/09/28 09:58
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Zusammenfassung

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Seiteneigenschaften
Inhalt
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10 10  definiert auf ganz R
11 11  symmetrisch zum ursprung
12 12  P(1|1) € Gf
13 -f(x) -> +oo für x -> +oo
13 +{{{f(x)}}} -> +oo für x -> +oo
14 14  
15 15  {{aufgabe id="Eigenschaften" afb="I" kompetenzen="K1, K5" quelle="??" cc="BY-SA"}}
16 -Bestimmen Sie zu den unten genannten Funktionen den (1) Globalverlauf, die (2) Symmetrie, den (3) Definitions- und den (4) Wertebereich und gegebenenfalls (5) waagerechte und senkrechte Asymptoten.
16 +Bestimme zu den unten genannten Funktionen den (1) Globalverlauf, die (2) Symmetrie, den (3) Definitions- und den (4) Wertebereich und gegebenenfalls (5) waagerechte und senkrechte Asymptoten.
17 17  
18 -a) Das Schaubild der Funktion g ist eine Parabel vierter Ordnung mit dem Scheitel {{formula}}S(-2| 3){{/formula}}, die um den Streckungsfaktor {{formula}}\frac{1}{2} {{/formula}} in y-Richtung gestreckt wurde.
19 -b) Die Funktion h ist eine Potenzfunktion mit {{formula}}h(x) = \frac{-3}{(x-2)} +4 {{/formula}}
18 +a) Das Schaubild der Funktion g ist eine Parabel vierter Ordnung mit dem Scheitel {{formula}}S(-2| 3){{/formula}}, die um den Streckungsfaktor {{formula}}\frac{1}{2}{{/formula}} in y-Richtung gestreckt wurde.
19 +b) Die Funktion h ist eine Potenzfunktion mit {{formula}}h(x) = \frac{-3}{x-2}+4{{/formula}}
20 20  {{/aufgabe}}
21 21  
22 -{{aufgabe id="Venn" afb="II" kompetenzen="" quelle="Holger Engels" cc="BY-SA"}}
23 -[[image:venn.svg]]
22 +{{aufgabe id="Venn - Eigenschaften" afb="II" kompetenzen="" quelle="Holger Engels" cc="BY-SA"}}
23 +[[image:venn.svg|| width="500" style="float: left"]]
24 +Gib für jedes Feld **A** .. **H** eine passende Funktion //f// an. Sollte ein Feld nicht gefüllt werden können, begründe bitte, warum es nicht geht.
25 +
26 +**Zusatzaufgabe:** Finde möglichst einfache/ komplexe Lösungen.
24 24  {{/aufgabe}}
25 25  
26 26  
venn.svg
Author
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1 +XWiki.holgerengels
Größe
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1 +35.1 KB
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