Question

If f is continuous on [a, b] then​

Answer 1

Answer:

Theorem (Bolzano) If f is continuous on [a, b] and f(a) < 0 < f(b), then there is some c in [a, b] such that f(c) = 0. ... Theorem (Boundedness Theorem) If f is continuous on [a, b] then f is bounded on [a, b], i.e. there exists M such that |f(x)| ≤ M for all x in [a, b].