Intermediate Value Theorem
Theorem 1. If $f$ is a continuous function on a closed interval $[a, b]$, and if $k$ is any value between $f(a)$ and $f(b)$, then $k = f(c)$ for some $c$ in $[a, b]$.
Theorem 1. If $f$ is a continuous function on a closed interval $[a, b]$, and if $k$ is any value between $f(a)$ and $f(b)$, then $k = f(c)$ for some $c$ in $[a, b]$.