#### Answer

Quadrant IV

#### Work Step by Step

Note that:
$x^3$ is positive when $x$ is positive.
$y^3$ is negative when $y$ is negative.
This means that the points that satisfy the given statements must have a positive $x$ and a negative $y$.
Points in Quadrant IV have positive $x$ values and negative $y$ values.
Thus, only points in Quadrant IV satisfy the given statements.