Wiki-Quellcode von Lösung Eigenschaften
Version 6.1 von joachimrapp am 2023/11/08 15:17
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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 | b) |