CLASS-11
RELATION & FUNCTION - GRAPHICAL REPRESENTATION OF CARTESIAN PRODUCT

GRAPHICAL REPRESENTATION –

Example.1) Taking A = {1, 2, 3, 4}, B = {4, 5, 6}. Represent A X B and B X B pictorially, using arrows.

Example.2)  Taking A = {1, 3, 5, 7}, and B = {2, 4, 6}, draw the graphs of A X A

  A X A =  {1, 3, 5, 7} X {1, 3, 5, 7}

         =  {(1, 1), (1, 3), (1, 5), (1, 7), (3, 1), (3, 3), (3, 5), (3, 7), (5, 1), (5, 3), (5, 5), (5, 7), (7, 1), (7, 3), (7, 5), (7, 7)}        (Ans.)

Example.3)  Taking A = {1, 3, 5, 7}, and B = {2, 4, 6}, draw the graphs of B X A

      B X A = {2, 4, 6} X {1, 3, 5, 7}

           = {(2, 1), (2, 3), (2, 5), (2, 7), (4, 1), (4, 3), (4, 5), (4, 7), (6, 1), (6, 3), (6, 5), (6, 7)}       (Ans.)