Wiki-Quellcode von Lösung Graphen beschreiben
Zuletzt geändert von Frauke Beckstette am 2025/03/11 12:45
Verstecke letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
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6.1 | 1 | {{formula}} f(x)=e^x+2 {{/formula}} |
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10.1 | 2 | verläuft steigend |
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6.1 | 3 | globales Verhalten: |
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8.1 | 4 | wenn {{formula}} x \to -\infty{{/formula}} dann {{formula}} f(x) \to y=2 {{/formula}} |
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6.2 | 5 | wenn {{formula}} x \to \infty{{/formula}} dann {{formula}} f(x) \to \infty {{/formula}} |
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6.1 | 6 | Asymptote: {{formula}} y=2 {{/formula}} |
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8.1 | 7 | Schnittpunkt mit der {{formula}}y{{/formula}}-Achse: {{formula}} S_y(0|3) {{/formula}} |
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6.1 | 8 | [[image:Skizze1.png||width="400"]] |
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1.1 | 9 | |
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6.1 | 10 | |
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8.1 | 11 | {{formula}} g(x)=e^{-x} - 1,5 {{/formula}} |
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10.1 | 12 | verläuft fallend |
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8.1 | 13 | globales Verhalten: |
| 14 | wenn {{formula}} x \to -\infty{{/formula}} dann {{formula}} f(x) \to \infty {{/formula}} | ||
| 15 | wenn {{formula}} x \to \infty{{/formula}} dann {{formula}} f(x) \to y=-1,5 {{/formula}} | ||
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9.1 | 16 | Asymptote: {{formula}} y=-1,5 {{/formula}} |
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8.1 | 17 | Schnittpunkt mit der {{formula}}y{{/formula}}-Achse: {{formula}} S_y(0|-0,5) {{/formula}} |
| 18 | [[image:Skizze2.png||width="400"]] | ||
| 19 | |||
| 20 | |||
| 21 | {{formula}} h(x)=-e^{x+2,5} {{/formula}} | ||
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10.1 | 22 | verläuft fallend |
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8.1 | 23 | globales Verhalten: |
| 24 | wenn {{formula}} x \to -\infty{{/formula}} dann {{formula}} f(x) \to y=0 {{/formula}} | ||
| 25 | wenn {{formula}} x \to \infty{{/formula}} dann {{formula}} f(x) \to -\infty {{/formula}} | ||
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9.1 | 26 | Asymptote: {{formula}} y=0 {{/formula}} |
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8.1 | 27 | Schnittpunkt mit der {{formula}}y{{/formula}}-Achse: {{formula}} S_y(0|-e^{2,5}) {{/formula}} |
| 28 | [[image:Skizze3.png||width="400"]] | ||
| 29 | |||
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10.1 | 30 | |
| 31 |