Is there a general method I can use to solve for the range of a complex function?

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- Sep 29th 2010, 05:49 PMdwsmithRange
Is there a general method I can use to solve for the range of a complex function?

- Sep 29th 2010, 10:56 PMHappyJoe
I am going to have to say no:

Given some arbitrary complex function f, there is no method algorithm for finding its range.

In theory, you can of course find its range by answering the question "Is there some z, such that f(z)=w?" for each w in the codomain, but this question may not be easy to answer.