Question

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 1

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.