Given the inequality $-125 < -64$, which of the following statements about their cube roots is true?

$\sqrt[3]{-125} > \sqrt[3]{-64}$

$\sqrt[3]{-125} < \sqrt[3]{-64}$

$\sqrt[3]{-125} = \sqrt[3]{-64}$

The relationship cannot be determined.

Which statement best describes the behavior of the cube root function, $f(x) = \sqrt[3]{x}$?

The function increases for $x > 0$ and decreases for $x < 0$.

The function is always increasing on its entire domain.

The function has a local maximum at $x=0$.

The function's rate of increase is constant.