Wiki-Quellcode von Lösung Graph durch Punkte
Zuletzt geändert von Frauke Beckstette am 2025/02/26 13:19
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| author | version | line-number | content |
|---|---|---|---|
| 1 | |||
| 2 | 1. {{formula}}f_1(5)=243 \qquad \Rightarrow \qquad q^5=243 \qquad \Rightarrow \qquad q=\sqrt[5]{243}=3 \qquad \Rightarrow \qquad f_1(x)=3^x{{/formula}} | ||
| 3 | 1. {{formula}}f_2(-1)=1,5 \qquad \Rightarrow \qquad q^-1=1,5 \qquad \Rightarrow \qquad \frac{1}{q}=\frac{3}{2} \qquad \Rightarrow \qquad q=\frac{2}{3} \qquad \Rightarrow \qquad f_2(x)=\left(\frac{2}{3}\right)^x{{/formula}} | ||
| 4 | 1. {{formula}}f_3(0)=-2 \qquad \Rightarrow \qquad a\cdot q^0=-2 \qquad \Rightarrow \qquad a=-2{{/formula}} | ||
| 5 | {{formula}}f_3(3)=-6,75 \qquad \Rightarrow \qquad -2\cdot q^3=-6,75 \qquad \Rightarrow \qquad q^3=3,375 \qquad \Rightarrow \qquad q=\sqrt[3]{3,375}=1,5 \qquad \Rightarrow \qquad f_3(x)=-2\cdot1,5^x {{/formula}} |