Suppose that $\displaystyle {f{{\left({x}\right)}}}$ is a continuous function with $\displaystyle {f{{\left({2}\right)}}}=-{4}$ and $\displaystyle {f{{\left({6}\right)}}}={4}$. Determine which choice best describes the following statement.


"For some $\displaystyle {y}$ in the interval [-4,4], $\displaystyle {f{{\left({x}\right)}}}={y}$ for all $\displaystyle {x}$ in the interval [2, 6]"