Question

what is the graphical representation of an inverse function primarily characterized by?

1. translation along the x-axis
2. reflection over the y-axis
3. rotation around the origin
4. reflection over the line $y=x$

Explanation:

The graph of an inverse function swaps the x and y coordinates of the original function's points. This transformation corresponds to mirroring the original function's graph over the line that has the equation $y=x$, as this line represents all points where x and y values are equal.

Answer:

1. Reflection over the line $y=x$