intermediate-value theorem

[in-ter-mee-dee-it-val-yoo]

in·ter·me·di·ate-val·ue the·orem

[in-ter-mee-dee-it-val-yoo]
noun Mathematics.
the theorem that a function continuous between two points and having unequal values, a and b, at the two points takes on all values between a and b.
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