To find the range of the function after it has been rotated 90 degrees counterclockwise around the origin, we need to understand how the rotation affects the coordinates of the points in the domain.

Rotation of Points

A 90-degree counterclockwise rotation around the origin transforms any point $(x, y)$ into $(-y, x)$.

Given Points and Their Rotations

Let's apply this rotation to each point in the domain:

1. $(0, 0)$ → $(-0, 0)$ → $(0, 0)$
2. $(3, 5)$ → $(-5, 3)$
3. ((-1,