Final answer:
Yes, the Intermediate Value Theorem applies to continuity on open intervals in mathematics.
Step-by-step explanation:
Yes, the Intermediate Value Theorem applies to continuity on open intervals in mathematics.
The Intermediate Value Theorem states that if a function f(x) is continuous on the closed interval [a, b] and C is any number between f(a) and f(b), then there exists at least one number x = c in the open interval (a, b) such that f(c) = C.
In other words, if a continuous function takes on two different values at two different points on a closed interval, then it must also take on every value in between those two values at some point on the open interval.