# Abbildung/Wertetabellen/Begriffe/2/Aufgabe

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Bestimme, welche der folgenden Wertetabellen Abbildungen ${\displaystyle {}\varphi \colon L\rightarrow M}$ zwischen den angegebenen Mengen festlegen. Welche sind injektiv, welche surjektiv, welche bijektiv?

1. ${\displaystyle {}L=\{1,2,3,4,5,6,7,8\}}$, ${\displaystyle {}M=\{a,b,c,d,e,f,g\}}$,
 ${\displaystyle {}x}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$ ${\displaystyle {}3}$ ${\displaystyle {}4}$ ${\displaystyle {}5}$ ${\displaystyle {}6}$ ${\displaystyle {}7}$ ${\displaystyle {}8}$ ${\displaystyle {}\varphi (x)}$ ${\displaystyle {}a}$ ${\displaystyle {}e}$ ${\displaystyle {}f}$ ${\displaystyle {}h}$ ${\displaystyle {}e}$ ${\displaystyle {}a}$ ${\displaystyle {}c}$ ${\displaystyle {}d}$
2. ${\displaystyle {}L=\{1,2,3,4,5,6,7\}}$, ${\displaystyle {}M=\{a,b,c,d,e,f,g,h\}}$,
 ${\displaystyle {}x}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$ ${\displaystyle {}3}$ ${\displaystyle {}4}$ ${\displaystyle {}5}$ ${\displaystyle {}5}$ ${\displaystyle {}6}$ ${\displaystyle {}7}$ ${\displaystyle {}\varphi (x)}$ ${\displaystyle {}c}$ ${\displaystyle {}e}$ ${\displaystyle {}f}$ ${\displaystyle {}d}$ ${\displaystyle {}e}$ ${\displaystyle {}a}$ ${\displaystyle {}b}$ ${\displaystyle {}a}$
3. ${\displaystyle {}L=\{1,2,3,4,5,6,7,8\}}$, ${\displaystyle {}M=\{a,b,c,d,e,f,g,h\}}$,
 ${\displaystyle {}x}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$ ${\displaystyle {}3}$ ${\displaystyle {}4}$ ${\displaystyle {}5}$ ${\displaystyle {}6}$ ${\displaystyle {}7}$ ${\displaystyle {}\varphi (x)}$ ${\displaystyle {}c}$ ${\displaystyle {}e}$ ${\displaystyle {}f}$ ${\displaystyle {}d}$ ${\displaystyle {}e}$ ${\displaystyle {}b}$ ${\displaystyle {}a}$
4. ${\displaystyle {}L=\{1,2,3,4,5,6,7,8\}}$, ${\displaystyle {}M=\{a,b,c,d,e,f,g,h\}}$,
 ${\displaystyle {}x}$ ${\displaystyle {}2}$ ${\displaystyle {}1}$ ${\displaystyle {}4}$ ${\displaystyle {}3}$ ${\displaystyle {}6}$ ${\displaystyle {}5}$ ${\displaystyle {}8}$ ${\displaystyle {}7}$ ${\displaystyle {}\varphi (x)}$ ${\displaystyle {}h}$ ${\displaystyle {}b}$ ${\displaystyle {}f}$ ${\displaystyle {}d}$ ${\displaystyle {}e}$ ${\displaystyle {}c}$ ${\displaystyle {}g}$ ${\displaystyle {}a}$
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