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11. If f(0) = 5 and f(20) = -3, but the equation f(x) = 0 has no solutions, what must be true about the
function f(x) on the interval [0,20]?

Answer :

This function is not continuous (it is discontinuous) on the interval [0;20], according to the corollary of Bolzano's theorem, also known as the intermediate value theorem.

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