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

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