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Änderungen von Dokument BPE 12.3 Potenzfunktion

Zuletzt geändert von Holger Engels am 2025/12/12 07:06
Von Version 5.1
bearbeitet von Holger Engels
am 2025/06/18 06:07
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 9.1
bearbeitet von Holger Engels
am 2025/12/12 07:03
Änderungskommentar: Neues Bild Venn Potenzfunktionen Mittelstufe.svg hochladen

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
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3 3  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann die Eigenschaften von Potenzfunktionen und deren Graphen untersuchen .
4 4  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann zwischen den verschiedenen Darstellungsformen wechseln.
5 5  
6 +{{lehrende}}
7 +**Unterrichtsidee** [[Hyperbel aus Rechtecken mit gleichem Flächeninhalt>>Klasse 10.BPE_12L.Hyperbel aus Rechtecken gleichen Flächeninhalts.WebHome]]
8 +{{/lehrende}}
9 +
10 +{{aufgabe id="Erkunden - Gerader Exponent" afb="I" kompetenzen="K4,K5" zeit="12" quelle="Holger Engels, Martin Rathgeb"}}
11 +Gegeben sind drei Funktionsgleichungen {{formula}}f(x)=x^2{{/formula}} und {{formula}}h(x)=x^{-2}{{/formula}}.
12 +(% style="list-style: alphastyle" %)
13 +1. Gib jeweils den maximalen Definitionsbereich mit zugehörigem Wertebereich an.
14 +1. Skizziere jeweils den Graphen der Funktion ggf. mit Asymptoten; benutze dafür ein gemeinsames Koordinatensystem, dessen x-Achse von {{formula}}[-3; +3]{{/formula}} geht.
15 +1. Beschreibe die Symmetrien, die bei den Graphen bzw. zwischen den Graphen erkennbar sind.
16 +{{/aufgabe}}
17 +
18 +{{aufgabe id="Erkunden - Ungerader Exponent" afb="I" kompetenzen="K4,K5" zeit="12" quelle="Holger Engels, Martin Rathgeb"}}
19 +Gegeben sind drei Funktionsgleichungen {{formula}}f(x)=x^3{{/formula}} und {{formula}}h(x)=x^{-3}{{/formula}}.
20 +(% style="list-style: alphastyle" %)
21 +1. Gib jeweils den maximalen Definitionsbereich mit zugehörigem Wertebereich an.
22 +1. Skizziere jeweils die Graphen der Funktionen ggf. mit ihren Asymptoten; benutze dafür ein gemeinsames Koordinatensystem, dessen x- und y-Achse jeweils von {{formula}}[-8; +8]{{/formula}} geht.
23 +1. Beschreibe die Symmetrien, die bei den Graphen bzw. zwischen den Graphen erkennbar sind.
24 +{{/aufgabe}}
25 +
6 6  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
7 7  
Venn Potenzfunktionen Mittelstufe.svg
Author
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1 +XWiki.holgerengels
Größe
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1 +26.0 KB
Inhalt
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