Suppose that f(x)\displaystyle {f{{\left({x}\right)}}} is a continuous function with f(3)=8\displaystyle {f{{\left({3}\right)}}}=-{8} and f(8)=8\displaystyle {f{{\left({8}\right)}}}=-{8}. Determine which choice best describes the following statement.

"f(x)=0\displaystyle {f{{\left({x}\right)}}}={0} for some x\displaystyle {x} in the interval [3, 8]"