AP Calculus BC

Intermediate Value Theorem

If $f$ is continuous on $[a, b]$ and $k$ is between $f(a)$ and $f(b)$, then there is a $c$ with $a < c < b$ such that $f(c) = k$.

To justify a yes answer, state continuity on the interval, both endpoint values, the strict inequality for $k$, and the IVT conclusion.