A relation is given in the table below. Write out the ordered pairs for the inverse, and then determine if the inverse is a function.

x: 1, 2, 3, 4, 5

y: 0, 1, 0, 2, 0

X: 1, 2, 3, 4, 5

y: 0, 1, 0, 2, 0

function: (1,0) (2,1) (3,0) (4,2) (5,0)

function is identified as a special kind of relation wherein the x-coordinate will only have one corresponding y-coordinate.

inverse of the relation is the interchange of the x and y coordinates.

inverse: (0,1) (1,2) (0,3) (2,4) (0,5)

The inverse is not a function. There are more than one x-coordinate that results to different y-coordinates. This is made evident when x = 0; y = 1,3, and 5.