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Basic Mathematics – I




                    Notes
                                                                     Figure  6.3












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                                                             3
                                                2
                                                                         3
                                   (c)  Let f(x) = x , then f(–x) = –x  = –f(x)   y = x  is an odd function. This function is symmetric
                                       about origin.
                                       When x = 0, then y = 0,   the graph of the function passes through origin. Further,  y is
                                       positive (negative)  when  x  is positive  (negative).  Therefore the graph lies in I and III
                                       Quadrants. Note  that  the  values of  y  increases as  x  increases. Thus,  the  function is
                                       monotonically increasing in its domain. Based on these features, the broad graph is shown
                                       in Figure 6.4.

                                                                     Figure  6.4










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                                                                     Figure  6.5









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