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Functions


               (c)         y                                             y
                                                      (b)
                           5                                             2
                           4
                                                                         1
                           3
          FOR ONLINE READING ONLY
                           2
                                                              -2   -1    0      1    2   x
                           1
                                                                       -1
                    -2 -1  0   1   2  3  4   5  x
                         -1
                                                                       -2
                         -2


               (d)               y
                                 3                    (c)         y

                                 2                                 5
                                 1                                 4
                                                                   3
                     -3  -2  -1  0    1   2  3 x
                                                                   2
                                -1
                                                                   1
                                -2

                                -3                         -2 -1   0   1   2   3  4   5  x
                                                                 -1
               Solution                                          -2
               In order to test whether a function is
               one-to-one or not, draw a line parallel   (d)             y
               to the  x-axis  as shown in the following                 3
               figures.
                                                                         2
               (a)               y
                                                                         1
                                 3
                                                             -3  -2  -1  0     1   2   3 x
                                 2                                                                  Mathematics for Secondary Schools
                                                                        -1
                                 1
                                                                        -2
                   -4 -3 -2 -1 0      1  2   3   x
                                                                        -3
                                -1
                                -2
                                -3
                                                      From the figures, it can be observed that
                                -4
                                                      the horizontal lines drawn in (a) and
                                                      (b) crosses the graph more than once,



                 Student\s Book Form Three          37



                                                                                          18/09/2025   09:58:53
     MATHEMATIC F3 SB.indd   37                                                           18/09/2025   09:58:53
     MATHEMATIC F3 SB.indd   37
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