Wiki-Quellcode von Lösung Graphen beschreiben und skizzieren
Version 8.1 von Frauke Beckstette am 2024/12/18 13:42
Verstecke letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
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6.1 | 1 | {{formula}} f(x)=e^x+2 {{/formula}} |
| 2 | globales Verhalten: | ||
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8.1 | 3 | wenn {{formula}} x \to -\infty{{/formula}} dann {{formula}} f(x) \to y=2 {{/formula}} |
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6.2 | 4 | wenn {{formula}} x \to \infty{{/formula}} dann {{formula}} f(x) \to \infty {{/formula}} |
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6.1 | 5 | Asymptote: {{formula}} y=2 {{/formula}} |
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8.1 | 6 | Schnittpunkt mit der {{formula}}y{{/formula}}-Achse: {{formula}} S_y(0|3) {{/formula}} |
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6.1 | 7 | [[image:Skizze1.png||width="400"]] |
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1.1 | 8 | |
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6.1 | 9 | |
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8.1 | 10 | {{formula}} g(x)=e^{-x} - 1,5 {{/formula}} |
| 11 | globales Verhalten: | ||
| 12 | wenn {{formula}} x \to -\infty{{/formula}} dann {{formula}} f(x) \to \infty {{/formula}} | ||
| 13 | wenn {{formula}} x \to \infty{{/formula}} dann {{formula}} f(x) \to y=-1,5 {{/formula}} | ||
| 14 | Asymptote: {{formula}} y=2 {{/formula}} | ||
| 15 | Schnittpunkt mit der {{formula}}y{{/formula}}-Achse: {{formula}} S_y(0|-0,5) {{/formula}} | ||
| 16 | [[image:Skizze2.png||width="400"]] | ||
| 17 | |||
| 18 | |||
| 19 | {{formula}} h(x)=-e^{x+2,5} {{/formula}} | ||
| 20 | globales Verhalten: | ||
| 21 | wenn {{formula}} x \to -\infty{{/formula}} dann {{formula}} f(x) \to y=0 {{/formula}} | ||
| 22 | wenn {{formula}} x \to \infty{{/formula}} dann {{formula}} f(x) \to -\infty {{/formula}} | ||
| 23 | Asymptote: {{formula}} y=2 {{/formula}} | ||
| 24 | Schnittpunkt mit der {{formula}}y{{/formula}}-Achse: {{formula}} S_y(0|-e^{2,5}) {{/formula}} | ||
| 25 | [[image:Skizze3.png||width="400"]] | ||
| 26 |