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Not possessing both an upper and a lower bound. So for all positive real values *V* there is a value of the independent variable *x* for which |*f*(*x*)|>*V*. For example, *f* (*x*)=*x*^{2} is unbounded because *f* (*x*)≥0 but *f*(*x*) → ∞ as *x* → ±∞, i.e. it is bounded below but not above, while *f*(*x*)=*x*^{3} has neither upper nor lower bound.

*Subjects:*
Mathematics.

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