# Definition The intermediate value theorem is an elementary [[Definition of Continuity|definition of continuity]]. It states that given a [[Closed & Open Intervals|closed interval]] $\left[ a,b \right]$, there exists some real value $N$ between $(a,b)$ where $f(c)=N$. Note that $f(a)\neq f(b)$ # Resources <iframe width="560" height="315" src="https://www.youtube.com/embed/8G-NNs5OZRY?si=iJlvj4FklN2L0Buo" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>