Änderungen von Dokument Lösung Erkunden (eine Potenzfunktion) - Wertetabelle

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• Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)

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Seiteneigenschaften

Inhalt

...	...	@@ -1,16 +3,14 @@
1		-Untersuche die Funktion //f// mit {{formula}}f(x)=\frac{1}{x}{{/formula}} und Definitionsbereich {{formula}}\mathbb{R}^*{{/formula}} im Hinblick auf ihr Randverhalten und ihre Wertemenge. Ergänze dafür zunächst folgende Wertetabellen.
2		-
3	3	(% style="list-style: alphastyle" %)
4	4	1. (((Randverhalten: Verhalten im Unendlichen
5	5	1) Verhalten gegen plus Unendlich ({{formula}}+\infty{{/formula}})
6	6	(% class="border" %)
7		-|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+10{{/formula}}| {{formula}}+100{{/formula}}| {{formula}}+1000{{/formula}}| {{formula}}+10^6{{/formula}}| {{formula}}+10^9{{/formula}}| {{formula}}+10^{12}{{/formula}}|({{formula}}+10^{+\infty}{{/formula}})
	5	+|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+10{{/formula}}| {{formula}}+100{{/formula}}| {{formula}}+1000{{/formula}}| {{formula}}+10^6{{/formula}}| {{formula}}+10^9{{/formula}}| {{formula}}+10^{12}{{/formula}}|{{formula}}+10^{+\infty}{{/formula}}
8	8	|={{formula}}f(x){{/formula}}|1|{{formula}}\frac{1}{10}{{/formula}}|{{formula}}\frac{1}{100}{{/formula}}|{{formula}}\frac{1}{1000}{{/formula}}|{{formula}}\frac{1}{1000000}{{/formula}}|{{formula}}\frac{1}{1000000000}{{/formula}}|{{formula}}\frac{1}{1000000000000}{{/formula}}|0
9	9
10	10	2) Verhalten gegen minus Unendlich ({{formula}}-\infty{{/formula}})
11	11	(% class="border" %)
12		-|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-10{{/formula}}| {{formula}}-100{{/formula}}| {{formula}}-1000{{/formula}}| {{formula}}-10^6{{/formula}}| {{formula}}-10^9{{/formula}}|{{formula}}-10^{12}{{/formula}}|
13		-|={{formula}}f(x){{/formula}}||{{formula}}-1{{/formula}}|{{formula}}-\frac{1}{100}{{/formula}}|{{formula}}-\frac{1}{1000}{{/formula}}|{{formula}}-\frac{1}{1000000}{{/formula}}|{{formula}}\frac{1}{1000000000}{{/formula}}|{{formula}}\frac{1}{1000000000000}{{/formula}}|0
	10	+|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-10{{/formula}}| {{formula}}-100{{/formula}}| {{formula}}-1000{{/formula}}| {{formula}}-10^6{{/formula}}| {{formula}}-10^9{{/formula}}|{{formula}}-10^{12}{{/formula}}|{{formula}}-10^{-\infty}{{/formula}}
	11	+|={{formula}}f(x){{/formula}}|{{formula}}-1{{/formula}}|{{formula}}-\frac{1}{10}{{/formula}}|{{formula}}-\frac{1}{100}{{/formula}}|{{formula}}-\frac{1}{1000}{{/formula}}|{{formula}}-\frac{1}{1000000}{{/formula}}|{{formula}}\frac{1}{1000000000}{{/formula}}|{{formula}}\frac{1}{1000000000000}{{/formula}}|0
14	14	)))
15	15	1. (((Randverhalten: Verhalten nahe der Definitionslücke ({{formula}}x \approx 0{{/formula}})
16	16	1) Verhalten links bei der Definitionslücke ({{formula}}x \approx 0{{/formula}} mit {{formula}}x<0{{/formula}})