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find the critical numbers of the function and the open intervals of f(x) = [tex] x^{3}-12x
[/tex]

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AnneCviz
The critical numbers are those that make the function equal to 0. If we factor this, we will have

f(x) = x (x+√12) (x-√12)

So, the critical numbers are 0, -√12, and +√12.