Intermediate Value Theorem - Mathematics & Logic - Pure Mathematics Dictionary Definition The statement that a continuous real-valued function on a closed interval [a,b] attains every value between f(a) and f(b): for any value v between f(a) and f(b) there exists c in [a,b] with f(c)=v.
Intermediate Value Theorem - Mathematics & Logic - Pure Mathematics Dictionary Definition The statement that a continuous real-valued function on a closed interval [a,b] attains every value between f(a) and f(b): for any value v between f(a) and f(b) there exists c in [a,b] with f(c)=v.