Solution
= Solution
{c}
The \b[<intermediate value theorem>] states that if $f:[u,v]\to\mathbb R$ is <continuous> and $y$ lies between $f(u)$ and $f(v)$, inclusive, then some $c\in[u,v]$ satisfies $f(c)=y$. If $y$ lies strictly between the endpoint values, then $c$ lies in $(u,v)$.