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SageMath chooses complex cube roots by default, which explains this behavior.

There's not much you can do about this default. But you can do this:

plot(sgn(x)*abs(x)^(1/3),(x,-13,13))

cube root graph

SageMath sometimes chooses complex cube roots by default, roots, which explains this behavior.

There's not much you can do about this default. internal choice. But you can do this:

plot(sgn(x)*abs(x)^(1/3),(x,-13,13))

cube root graph