  A field $k$ is called large if every irreducible $k$-curve with a
$k$-rational smooth point has infinitely many $k$-points. Let $k$ be a perfect
large field and let $f \in k[x]$. Consider the evaluation map $f_k: k \to k$.
Assume that $f_k$ is not surjective. We will show that $k \setminus f_k(k)$ is
infinite. This conclusion follows from a similar statement about finite
morphisms between normal projective curves over perfect large fields.
