Suppose that $\displaystyle {f{{\left({x}\right)}}}$ is a continuous function with $\displaystyle {f{{\left(-{1}\right)}}}=-{6}$ and $\displaystyle {f{{\left({3}\right)}}}={6}$. Determine which choice best describes the following statement.

"For any $\displaystyle {y}$ in the interval [-6,6], $\displaystyle {f{{\left({x}\right)}}}={y}$ for some $\displaystyle {x}$ in the interval [-1, 3]"