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Basic Mathematics – I




                    Notes          8.  Which of the following functions are many-to-one functions?
                                       (a)  f : { 2, 1,1,2}    {2,5} defined as f(x) =x  + 1
                                                                           2
                                       (b)  f : {0,1,2}    {1} defined as f(x) = 1








                                       (c)




                                       (d)  f : N   N defined as f(x) = 5x + 7
                                   9.  Draw the graph of each of the following functions :

                                       (a)  y = 3x 2
                                       (b)  y =  x 2
                                                2
                                       (c)  y = x    2
                                       (d)  y = 5   x 2

                                                 2
                                       (e)  y = 2x  + 1
                                       (f)  y = 1   2x 2
                                   10.  Which of the following graphs represents a functions?








                                       (a)

















                                       (b)













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