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Answers


                                                                       x
                    (b)  x   ±  x                    Domain =  { :0x  <<   } 3
                                    1    1          Range =  { : 0y  <  y ≤  } 4
                      Range = −−       , 0,  , 1 
                                 1,
                              
                                    2     2  
                                                        } 0
              11. (a)  R = {( , ):xy x y+≤  7, y ≥  x and x ≥ (c)   y
          FOR ONLINE READING ONLY
                                                                 14
 R = {( , ):xy x y+≤  7, y ≥  x and x ≥  } 0
                                                                 12
                    (b)  R = {( , ):xy x y+ ≤  6, x + ≥  y and y ≥  } 0  10    y=x+2
                                             2
 R = {( , ):xy x y+ ≤ 6, x + ≥  y and y ≥  } 0                    8
                     2
                                                                  6
                    (c)  R = {( , ):xy y ≤  , xy ≥− 2and x ≤  } 8
                                                                  4
 R = {( , ):xy y ≤  , xy ≥− 2and x ≤  } 8                         2           y =-x+10
              12. (a)        y                             -4 -2 0    2   4  6  8  10  12 x

                             4                                  -2      y=x -x-6
                                                                           2
                                                                -4
                             3
                                                                -6
                             2
                                 y=x     y=x -2x
                                             2
                             1 1
                                                                         x
                                                      Domain =  { : 4x −< <   } 4
                         -1 00    1   2   3   4  x    Range =  { :0y  <  y <  14 }
                           -1
                                                      13 (a)
                           -2
                                                                 y
              Domain =  { :0x  <<   } 3                          9
                                x
                                                                 8
                                y
              Range =  { : 1y − ≤ <  } 3                         7
              (b)      y                                         6

                       5                                         5      y=x + 2
                                                                 4
                       4                                                              x=6
                                                                 3
                       3
                                          2
                                     y=-x +4x                    2                                  Mathematics for Secondary Schools
                       2
                               y=x                               1
                       1
                                                       -3 -2 -1 0     1  2  3  4  5  6 6  x
                                                               -1
                   -1 00    1   2  3   4   5  x
                     -1
                     -2                               Domain =  { :xx <  } 6
                                                      Range { :yy=  < 8}






                 Student\s Book Form Three         179



                                                                                          18/09/2025   10:00:07
     MATHEMATIC F3 SB.indd   179                                                          18/09/2025   10:00:07
     MATHEMATIC F3 SB.indd   179
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