Skizziere die Graphen der folgenden rationalen Funktionen

${\displaystyle f=g/h\colon U\longrightarrow \mathbb {R} ,}$

wobei ${\displaystyle {}U}$ jeweils das Komplement der Nullstellenmenge des Nennerpolynoms ${\displaystyle {}h}$ sei.

1. ${\displaystyle {}1/x}$,
2. ${\displaystyle {}1/x^{2}}$,
3. ${\displaystyle {}1/(x^{2}+1)}$,
4. ${\displaystyle {}x/(x^{2}+1)}$,
5. ${\displaystyle {}x^{2}/(x^{2}+1)}$,
6. ${\displaystyle {}x^{3}/(x^{2}+1)}$,
7. ${\displaystyle {}(x-2)(x+2)(x+4)/(x-1)x(x+1)}$.