Abbildung/Wertetabellen/Begriffe/2/Aufgabe

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

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

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

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

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

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

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

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

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

Zur Lösung, Alternative Lösung erstellen