Question

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

Answer 1

Recall that if (x,y) is a point on the graph of a function f(x), then:

`(y,x)`

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:

`(x,y)\rightarrow(y,x).`

The above is equivalent to the rule of transformation for a reflection over the line:

`y=x.`

Answer:

`Second\text{ option.}`