Suppose that f(x)\displaystyle {f{{\left({x}\right)}}} is a function with f(1)=4\displaystyle {f{{\left(-{1}\right)}}}=-{4} and f(3)=4\displaystyle {f{{\left({3}\right)}}}={4}. 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 [-1, 3]"