Reflection in the Line y = x

What is Reflection in the Line y = x?

The geometric relationship between the graph of a one-one function and the graph of its inverse. Because reflecting a point in the line y equals x exchanges its coordinates, the point (a, b) on y = f(x) corresponds to the point (b, a) on y = f inverse of x; consequently the domain and range of the two functions are interchanged, and any point where the two graphs meet a fixed point lies on the mirror line itself.

This definition is part of the Functions chapter in Cambridge O Level Additional Mathematics.

Concepts related to Reflection in the Line y = x

• Inverse Function
• coordinate swap
• fixed point