If the domain of a function that is rotated 90 degrees counter-clockwise around the origin is (0, 0), (3, 5), (-1, 4), what is the range?

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, 

Discover how to determine the range of a function after a 90-degree counterclockwise rotation around the origin. This problem involves understanding geometric transformations, specifically rotation, and their effects on function domains. Suitable for advanced high school students.

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