Question

On an interval `[a,b]`, `f` is a continuous function. If `f(a)<0` and `f(b)>0`, then there exists a constant `c\in [a,b]` such that `f(c)=0` by which theorem?

Answer 1

The answer is the intermediate value theorem

Explanation:

This is the intermediate value theorem.

The function `f(x)` is continuous on the interval `[a,b]` such that `f(a)<0` and `f(b)>0`, then there exists `c in [a,b]` such that `f(c)=0`