>> From: Raul Miller <[EMAIL PROTECTED]>

>> My question is: how do I find the rank 0 functions which
>> correspond to general cases of that plot?

The minimum definition you were using seems right to me.  If y=f(x), and
rotation is by 90 degrees, you want to define g(y)=min f^{-1}(y).  For
example, if f(x)=x^2, g(4)=min {_2,2}=_2, and g(y)=-%: y .

If f is a polynomial of odd degree, it is necessarily onto, and g can be
defined on R.  If f is even, you will have to restrict the domain of g.

Best wishes,

John

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