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I'm curious if it's possible to define a function that would have more than two functionvalues for one single x-value. I know that it's possible to get two y-values by using the root (one positive, one negative: $\sqrt{4} = -2 ; +2$).

Is it possible to get three or more function values for one single x-value?

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    Please, refrain from writing $\sqrt{4} = -2$. Unless you have reached a certain point in complex analysis where you get to "choose" a different definition with branch cuts, the only value of $\sqrt{4}$ is $2$.2012-03-03

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