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The function goes smoothly from limit in minus infinity of 2 1 to a zero at x = 0 . It remain zero until x = 1 . It rises with slope 1 to the value of 1 at x = 2 . It remains at 1 until x = 3 . From the point ( 3 , 1 ) , it drops smoothly to its limit of 2 1 at infinity.
The graph of the function is symmetrical around a point ( 1 . 5 , 0 . 5 ) . However the function is not odd, as this point is not ( 0 , 0 ) .
It is clearly not a bijection or one-one function.
It does, however, realize every x on the interval [ 0 , 1 ] , so it is onto.