Intermediate Value Theorem Ivt
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"
