Page 24 - E-MODUL RELASI DAN FUNGSI BY INDAH PRISTY YENZI
P. 24

FUNGSI DAN BUKAN FUNGSI



























        Contoh 1


        Diketahui himpunan U = {1,2,3,4} dan himpunan V = {b,c,d}.

        Berikut ini merupakan contoh Fungsi dan bukan Fungsi

             Contoh fungsi:                           Contoh bukan fungsi :

         1.{(1,b), (2,b), (3,b), (4,c)}              1.{(2,b), (2,c), (3,b)}

         2.{(1,b), (2,c), (3,c), (4,d)}              2.{(1,b), (2,b), (2,c)}
          3.{(1,c), (2,c), (3,c), (4,d)}             3.{(2,d), (3,c), (3,d), (4,c)}

         4.{(1,d), (2,b), (3,c), (4,c)}              4.{(3,b), (3,c), (3,d)}

         5.{(1,c), (2,c), (3,d), (4,d)}              5.{(3,c), (4,c), (4,d)}
         6.{(1,d), (2,c), (3,b), (4,d)}              6.{(1,c), (2,b), (4,d)}


         Contoh2

         Perhatikan Contoh dan Bukan Contoh fungsi- fungsi dari himpunan
         A = {1, 2, 3} ke himpunan B = {a , b} berikut.

         Contoh fungsi:                       Contoh bukan fungsi :

         1. {(1 , a), (2 , a), (3 , a)}       1. {(1 , a), (2 , a), (2 , b)}

         2. {(1 , b), (2 , b), (3 , b)}       2. {(1 , b), (2 , b), (2 , b)}
         3. {(1 , a), (2 , a), (3 , b)}       3. {(1 , a), (1 , b), (3 , b)}

         4. {(1 , a), (2 , b), (3 , a)}       4. {(2 , a), (2 , b), (3 , a)}

         5. {(1 , a), (2 , b), (3 , b)}       5. {(2 , a), (2 , b), (2 , c)}
         6. {(1 , b), (2 , a), (3 , a)}       6. {(1 , b), (2 , a), (2 , b)}

         7. {(1 , b), (2 , b), (3 , a)}       7. {(3 , a), (3 , b), (3 , c)}

         8. {(1 , b), (2 , a), (3 , b)}       8. {(1 , b), (2 , a), (3 , b)}




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