Änderungen von Dokument BPE 2.1 Funktionstypen und deren Eigenschaften
Zuletzt geändert von Holger Engels am 2025/03/31 21:42
Von Version 163.1
bearbeitet von Martin Rathgeb
am 2024/10/15 00:07
am 2024/10/15 00:07
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Auf Version 166.1
bearbeitet von Martin Rathgeb
am 2024/10/15 00:09
am 2024/10/15 00:09
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Zusammenfassung
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Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)
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... ... @@ -44,24 +44,24 @@ 44 44 1. Randverhalten: Verhalten im Unendlichen 45 45 1.1 Verhalten gegen plus Unendlich ({{formula}}+\infty{{/formula}}) 46 46 ((((% class="border" %) 47 -|={{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}}| 048 -|={{formula}}f(x){{/formula}}|||||||| 47 +|={{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}}| 48 +|={{formula}}f(x){{/formula}}||||||||0 49 49 ))) 50 50 1.1 Verhalten gegen minus Unendlich ({{formula}}-\infty{{/formula}}) 51 51 ((((% class="border" %) 52 -|={{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}} 53 -|={{formula}}f(x){{/formula}}||||||| 52 +|={{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}}| 53 +|={{formula}}f(x){{/formula}}||||||||0 54 54 ))) 55 55 56 56 1. Randverhalten: Verhalten nahe der Definitionslücke ({{formula}}x \approx 0{{/formula}}) 57 57 1.1 Verhalten links bei der Definitionslücke ({{formula}}x \approx 0{{/formula}} mit {{formula}}x<0{{/formula}}) 58 58 ((((% class="border" %) 59 -|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-0,1{{/formula}}| {{formula}}-0,01{{/formula}}| {{formula}}-0,001{{/formula}}| {{formula}}-10^{-6}{{/formula}}| {{formula}}-10^{-9}{{/formula}}| {{formula}}-10^{-12}{{/formula}} 59 +|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-0,1{{/formula}}| {{formula}}-0,01{{/formula}}| {{formula}}-0,001{{/formula}}| {{formula}}-10^{-6}{{/formula}}| {{formula}}-10^{-9}{{/formula}}| {{formula}}-10^{-12}{{/formula}}|0 60 60 |={{formula}}f(x){{/formula}}||||||| 61 61 ))) 62 62 1.1 Verhalten rechts bei der Definitionslücke ({{formula}}x \approx 0{{/formula}} mit {{formula}}x>0{{/formula}}) 63 63 ((((% class="border" %) 64 -|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+0,1{{/formula}}| {{formula}}+0,01{{/formula}}| {{formula}}+0,001{{/formula}}| {{formula}}+10^{-6}{{/formula}}| {{formula}}+10^{-9}{{/formula}}| {{formula}}+10^{-12}{{/formula}} 64 +|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+0,1{{/formula}}| {{formula}}+0,01{{/formula}}| {{formula}}+0,001{{/formula}}| {{formula}}+10^{-6}{{/formula}}| {{formula}}+10^{-9}{{/formula}}| {{formula}}+10^{-12}{{/formula}}|0 65 65 |={{formula}}f(x){{/formula}}||||||| 66 66 ))) 67 67 1. Erkennst du eine Symmetrie?