Änderungen von Dokument Lösung Stetigkeitsbetrachtungen

Zusammenfassung

• Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)
• Anhänge (0 geändert, 1 hinzugefügt, 0 gelöscht)
  • Stetigkeit ee.svg

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Seiteneigenschaften

Inhalt

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1	1	Aussagen über die Stetigkeit einer Funktion kann man nur dort machen, wo sie definiert ist.
2	2
3		-[[image:Stetigkeit ee.svg||style="margin: 8px"]] ist an der Stelle //x=2// nicht definiert. Dass man dort beim Zeichnen "den Stift absetzen" muss, ändert nichts an der Stetigkeit. Es handelt sich - zumindest im dargestellten Bereiche - um eine stetige Funktion.
4		-[[image:Stetigkeit ie.svg||style="margin: 8px"]] hat an der Stelle //x=2// den Funktionswert //2//, unmittelbar danach den Wert //1//. Die Funktion ist unstetig.
5		-[[image:Stetigkeit ei.svg||style="margin: 8px"]] hat an der Stelle //x=2// den Funktionswert //1//, unmittelbar davor den Wert //2//. Die Funktion ist unstetig.
6		-[[image:Stetigkeit ii.svg||style="margin: 8px"]] hierbei handelt es sich nicht um das Schaubild einer Funktion, denn eine Funktion kann an jeder Stelle nur einen Funktionswert haben.
7		-[[image:Stetigkeit lee.svg||style="margin: 8px"]] ist im Intervall //[x; 3]// nicht definiert. Es handelt sich - zumindest im dargestellten Bereiche - um eine stetige Funktion.
8		-[[image:Stetigkeit o.svg||style="margin: 8px"]] hat eine Definitionslücke an der Stelle //x=2//. Die Funktion ist im dargestellten Bereich stetig.
	3	+(% class="noborder" %)
	4	+|[[image:Stetigkeit ee.svg||style="margin: 8px"]]|ist an der Stelle //x=2// nicht definiert. Dass man dort beim Zeichnen "den Stift absetzen" muss, ändert nichts an der Stetigkeit. Es handelt sich - zumindest im dargestellten Bereiche - um eine stetige Funktion.
	5	+|[[image:Stetigkeit ie.svg||style="margin: 8px"]]|hat an der Stelle //x=2// den Funktionswert //2//, unmittelbar danach den Wert //1//. Die Funktion ist unstetig.
	6	+|[[image:Stetigkeit ei.svg||style="margin: 8px"]]|hat an der Stelle //x=2// den Funktionswert //1//, unmittelbar davor den Wert //2//. Die Funktion ist unstetig.
	7	+|[[image:Stetigkeit ii.svg||style="margin: 8px"]]|hierbei handelt es sich nicht um das Schaubild einer Funktion, denn eine Funktion kann an jeder Stelle nur einen Funktionswert haben.
	8	+|[[image:Stetigkeit lee.svg||style="margin: 8px"]]|ist im Intervall //[x; 3]// nicht definiert. Es handelt sich - zumindest im dargestellten Bereiche - um eine stetige Funktion.
	9	+|[[image:Stetigkeit o.svg||style="margin: 8px"]]|hat eine Definitionslücke an der Stelle //x=2//. Die Funktion ist im dargestellten Bereich stetig.

Stetigkeit ee.svg

Author

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	1	+XWiki.holgerengels

Größe

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	1	+17.7 KB

Inhalt

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