Describing Inverses of Functions

To find the inverse of a relation, we switch the $x -$ and $y -$ values.

Relation		Inverse of the Relation
$x$	$y$	$x$	$y$
$0$	$0$	$0$	$0$
$1$	$1$	$1$	$1$
$2$	$4$	$4$	$2$
$3$	$9$	$9$	$3$

By plotting the points on the same coordinate plane, we can graph the relation and its inverse. Let ( $∙$ ) represent the points of the relation and ( $∙$ ) represent the points of the inverse.

Relation		Inverse of the Relation
$x$	$y$	$x$	$y$
$0$	$0$	$0$	$0$
$1$	$1$	$1$	$1$
$2$	$4$	$4$	$2$
$3$	$9$	$9$	$3$

Relation		Inverse of the Relation
$x$	$y$	$x$	$y$
$0$	$0$	$0$	$0$
$1$	$1$	$1$	$1$
$2$	$4$	$4$	$2$
$3$	$9$	$9$	$3$

Exercise 1.9 - Solution

Relation		Inverse of the Relation
$x$	$y$	$x$	$y$
$0$	$0$	$0$	$0$
$1$	$1$	$1$	$1$
$2$	$4$	$4$	$2$
$3$	$9$	$9$	$3$