Intermediate Value Theorem Ivt

graph TB IVT[Intermediate Value Theorem (IVT)] IVT --> Definition Definition --> "If a function f is continuous on a closed interval [a, b] and k is any number between f(a) and f(b), then there exists at least one number c in the interval such that f(c) = k" IVT --> Assumptions Assumptions --> "Function f is continuous on the interval [a, b]" Assumptions --> "k is a number between f(a) and f(b)" IVT --> Applications Applications --> "Used to prove existence of roots of equations" Applications --> "Used in numerical methods like bisection method"