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

Question

asked Apr 2, 2023 115k views

1 Answer

TeaBaerd · Answer 1 · 2023-04-06T08:59:23+0000

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

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:

$Second\text{ option.}$