Wiki-Quellcode von Lösung Eigenschaften
Version 8.1 von joachimrapp am 2023/11/08 15:31
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| author | version | line-number | content |
|---|---|---|---|
| 1 | a) | ||
| 2 | {{formula}}f(x)=\frac{1}{2}(x+2)^4+3{{/formula}} | ||
| 3 | (1) Globaler Verlauf: | ||
| 4 | Für {{formula}}x\rightarrow + \infty{{/formula}} gilt: {{formula}}f(x)\rightarrow + \infty{{/formula}} | ||
| 5 | Für {{formula}}x\rightarrow - \infty{{/formula}} gilt: {{formula}}f(x)\rightarrow + \infty{{/formula}} | ||
| 6 | |||
| 7 | (2) Symmetrie: | ||
| 8 | Achsensymmetrie zu {{formula}}x=-2{{/formula}} | ||
| 9 | |||
| 10 | (3) Definitionsmenge: | ||
| 11 | {{formula}}D_f=\mathbb R{{/formula}} | ||
| 12 | |||
| 13 | (4) Wertemenge: | ||
| 14 | {{formula}}W_f=\{x\in\mathbb R|x\geq 3\}{{/formula}} | ||
| 15 | |||
| 16 | (5) keine Asymptote | ||
| 17 | |||
| 18 | |||
| 19 | b) | ||
| 20 | |||
| 21 | (1) Globaler |