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Zuletzt geändert von Stephanie Wietzorek am 2025/05/21 10:29
Von Version 39.1
bearbeitet von Holger Engels
am 2025/05/20 13:53
Änderungskommentar: Neues Bild Polynome zuordnen i.svg hochladen
Auf Version 50.1
bearbeitet von Stephanie Wietzorek
am 2025/05/20 14:34
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1 -XWiki.holgerengels
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Inhalt
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18 18  * Zusammenhänge HP, TP, SP vorwärts und rückwärts
19 19  
20 20  * Funktionsterm der Ableitungsfunktion aus Tangentensteigungen aufstellen
21 -* Zuordnung Polynomfunktionen
22 22  * Beobachtungen bei e^x
23 23  
24 24  {{aufgabe id="Tangenten einzeichnen" afb="I" kompetenzen="" quelle="Holger Engels" cc="BY-SA" zeit="3"}}
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48 48  | [[image:Polynome zuordnen i.svg||width=200]] | | | | | [[image:Polynome zuordnen D.svg||width=200]]
49 49  {{/aufgabe}}
50 50  
50 +{{aufgabe id="Skizzieren anhand Eigenschaften" afb="?" kompetenzen="" quelle=" Stephanie Wietzorek, Simone Kanzler" cc="BY-SA" zeit="4" interaktiv="Interaktiv Zuordnung"}}
51 +(% style="float:left; margin-right: 16px" %)
52 +Es ist ein zur y-Achse symmetrisches Schaubild einer Funktion 4. Grades gesucht. Folgende Angaben sind bekannt:
53 +
54 +(% class="border" %)
55 +|= {{formula}}x{{/formula}} |-4|-1|0|1 |4
56 +|= {{formula}}f(x){{/formula}} |-2,5| |2 |0|
57 +|= {{formula}}f'(x){{/formula}} |-2| |0|-1 |
58 +{{/aufgabe}}
59 +
60 +{{aufgabe id="Aussagen Polynomfunktion I" afb="I" kompetenzen="" quelle="KMap" cc="BY-SA" zeit="3"}}
61 +Prüfe die Aussagen! Welche sind wahr? Eine Polynomfunktion 3. Grades ..
62 +☐ hat immer zwei Extrempunkte!
63 +☐ kann auch mal nur einen Extrempunkt haben!
64 +☐ kann auch mal keinen Extrempunkt haben!
65 +☐ hat immer genau einen Wendepunkt!
66 +☐ hat entweder einen Sattelpunkt oder zwei Extrempunkte!
67 +{{/aufgabe}}
68 +
69 +{{aufgabe id="Aussagen Polynomfunktion II" afb="I" kompetenzen="" quelle="Stephanie Wietzorek, Simone Kanzler" cc="BY-SA" zeit="3"}}
70 +Eine weitere Funktion hat folgendes Schaubild. Nimm Stellung zu folgenden Aussagen und begründe deine Antwort.
71 +- {{formula}}f(-3)=3{{/formula}}
72 +- {{formula}}x = 3{{/formula}} ist dreifache Nullstell
73 +- {{formula}}f'(x)<0{{/formula}} für {{formula}}x \in ]2;5[{{/formula}}
74 +- {{formula}}f'(1)<-2{{/formula}}
75 +- {{formula}}f'(2)=0{{/formula}}
76 +- {{formula}}f'(x)\ge 0{{/formula}} für {{formula}}-4 \le x \le 2{{/formula}}
77 +- {{formula}}f'(x){{/formula}} hat einen Vorzeichenwechsel bei {{formula}}x=-4{{/formula}} von -\rightarrow +
78 +
79 +{{/aufgabe}}
80 +
81 +
82 +
83 +{{aufgabe id="Aussagen Sattelstelle" afb="I" kompetenzen="" quelle="KMap" cc="BY-SA" zeit="3"}}
84 +Welche Aussagen treffen auf eine Sattelstelle zu?
85 +☐ Eine Sattelstelle hat eine waagrechte Asymptote
86 +☐ An einer Sattelstelle hat die Steigung ein Maximum oder ein Minimum
87 +☐ An einer Sattelstelle gibt es immer auch einen Krümmungswechsel
88 +☐ Eine Sattelstelle ist auch eine Wendestelle
89 +☐ Eine Sattelstelle kann auch eine Maximalstelle sein
90 +{{/aufgabe}}
91 +
51 51  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Aussagen.ggb
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Aussagen.svg
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Polynome zuordnen g.svg
Author
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1 +XWiki.holgerengels
Größe
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Polynome zuordnen h.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +30.6 KB
Inhalt
... ... @@ -1,0 +1,566 @@
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