Page 32 - Mathematics_Form_3
P. 32

Relations


                6.   R  =  { (x, y ) :  x + y  <  1  and   11.
                          y  <  x − 1}  .                              y
                                                                        5
                7.   R  =   {(x, y ) : 1 < x <  6  and
                        2 < y  < 8}  .                                  4
          FOR ONLINE READING ONLY
                8.   R  =  {(x, y ) : 0 < x <  5 and y  > 3}  .         3

                                                                        2
               In questions 9 to 14, draw the graph
                                                                        1
               of the inverse of each of the given
               relations, hence find the domain and        -3  -2  -1   0    1   2   3  x
               range of the inverse relation.                         -1
                                                                      -2
                9.
                                 y                      12.
                                  6                                        y
                                  5
                                         y=2x
                                  4                                       3
                                  3                                             y=2
                                                                          2
                                  2
                                  1                                       1
                                                               x=-2
                 -6-5 -4-3-2-1 0     1  2  3  4  x
                                -1                       -4  -3  -2   -1  0     1   2   x
                                -2
                                                                         -1
                                -3
                                -4                                       -2
                                -5
                                -6
                                                        13.
                10.                                                       y
                                                                        3
                                    y
                                    3                          y+x=0
                                                                        2
                                    2    y = x + 4                                                  Mathematics for Secondary Schools
                                         2
                                                                        1
                                    1
                                                                                        x
                 -5  -4  -3  -2  -1  0   1   2   3 x     -3   -2  -1    0    1    2    3
                                   -1
                                                                      -1
                                   -2
                                                                      -2
                                   -3
                                                                      -3





                 Student\s Book Form Three          25



                                                                                          18/09/2025   09:58:47
     MATHEMATIC F3 SB.indd   25
     MATHEMATIC F3 SB.indd   25                                                           18/09/2025   09:58:47
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