Zuletzt geändert von Stephanie Wietzorek am 2025/05/21 10:29

Von Version 61.1
bearbeitet von Holger Engels
am 2025/05/20 16:03
Änderungskommentar: Neuen Anhang Aussagen.ggb hochladen
Auf Version 63.1
bearbeitet von Stephanie Wietzorek
am 2025/05/20 16:43
Änderungskommentar: Neues Bild Ableitungsfunktion 1.svg hochladen

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.holgerengels
1 +XWiki.wies
Inhalt
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44 44  {{/aufgabe}}
45 45  
46 46  {{aufgabe id="Skizzieren anhand Eigenschaften" afb="?" kompetenzen="" quelle="Stephanie Wietzorek, Simone Kanzler" cc="BY-SA" zeit="4"}}
47 -Es ist ein zur y-Achse symmetrisches Schaubild einer Funktion 4. Grades gesucht. Folgende Angaben sind bekannt, fülle die Lücken.
47 +a) Skizziere eine mögliche Parabel 2. Grades, welche eine waagrechte Tangente an der Stelle {{formula}}x = -2{{/formula}} hat. Welche Gemeinsamkeiten haben diese Parabeln?
48 +
49 +b) Skizziere das Schaubild einer möglichen Funktion, welches drei waagrechte Tangenten besitzt. Welchen minimalen Grad hat die Funktion?
50 +
51 +c) Eine Funktion f hat nur positive Steigungen. Skizziere das Schaubild der Ableitungsfunktion.
52 +
53 +d) Es ist ein zur y-Achse symmetrisches Schaubild einer Funktion 4. Grades gesucht. Folgende Angaben sind bekannt, fülle die Lücken und skizziere das Schaubild der Funktion.
48 48  (% class="border" %)
49 -|{{formula}}x{{/formula}}|-4|-1|0|1 |4
55 +|x|-4|-1|0|1 |4
50 50  |Funktionswert|-2,5| |2 |0|
51 51  |Tangentensteigung|-2| |0|-1 |
52 52  {{/aufgabe}}
53 53  
54 -{{aufgabe id="Aussagen Polynomfunktion I" afb="I" kompetenzen="" quelle="KMap" cc="BY-SA" zeit="3"}}
60 +{{aufgabe id="Aussagen Polynomfunktion" afb="I" kompetenzen="" quelle="KMap" cc="BY-SA" zeit="3"}}
55 55  Prüfe die Aussagen! Welche sind wahr? Eine Polynomfunktion 3. Grades ..
56 56  ☐ hat immer zwei Extrempunkte!
57 57  ☐ kann auch mal nur einen Extrempunkt haben!
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60 60  ☐ hat entweder einen Sattelpunkt oder zwei Extrempunkte!
61 61  {{/aufgabe}}
62 62  
63 -{{aufgabe id="Aussagen Polynomfunktion II" afb="?" kompetenzen="" quelle="Stephanie Wietzorek, Simone Kanzler" cc="BY-SA" zeit="?"}}
64 -Eine weitere Funktion hat folgendes Schaubild. Nimm Stellung zu folgenden Aussagen und begründe deine Antwort.
65 -[[image:Aussagen.svg|| width="700px"]]
69 +{{aufgabe id="Aussagen Schaubild" afb="?" kompetenzen="" quelle="Stephanie Wietzorek, Simone Kanzler" cc="BY-SA" zeit="?"}}
70 +Gegeben ist das Schaubild einer Funktion. Nimm Stellung zu folgenden Aussagen und begründe deine Antwort.
71 +[[image:Aussagen.svg|| width="500px"]]
66 66  ☐ {{formula}}f(-3)=3{{/formula}}
67 67  ☐ {{formula}}x = 3{{/formula}} ist dreifache Nullstell
68 68  ☐ die Tangentensteigungen sind negativ für {{formula}}x \in ]2;5[{{/formula}}
Ableitungsfunktion 1.svg
Author
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1 +XWiki.wies
Größe
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Inhalt
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