How does the graph of a function's inverse relation compare to the graph of the original function?

Recall that if (x,y) is a point on the graph of a function f(x), then:
[tex](y,x)[/tex]is a point on the graph of its inverse function.
Therefore, the point (x,y) is being related to a point on the inverse function graph as follows:
[tex](x,y)\rightarrow(y,x).[/tex]The above is equivalent to the rule of transformation for a reflection over the line:
[tex]y=x.[/tex]