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Grade: 12
        Prove that the greateat integer function f: R to R, given by f(x) = [x], is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x
6 years ago

Answers : (1)

Harsh davda
41 Points
							you see that....  for many values of x, u would get the same value of y... for eg. ,  put x=0.2 or 0.39 or 0.71... u would get the same value of y... hence the function is many-one. not one-one..  morever  out of all the real numbers we get only integers as output.. hence all the values are not being covered from the range.. thus the function is into and not onto..
  thanx.
						
6 years ago
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