Question

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

Answer 1

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.

Answer 2

Question :

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

Possible answer choices:

A. (1,0) (2,1) (3,0) (4,2) (5,0); inverse is not a function

B. (0,1) (1,2) (0,3) (2,4) (0,5); inverse is not a function

C. (0,1), (1,2), (2,4); inverse is a function

D. (0,1) (1,2) (0,3) (2,4) (0,5); inverse is a function

Answer & Step-by-step explanation:

x: 1, 2, 3, 4, 5

y: 0, 1, 0, 2, 0

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

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

An 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.

Therefore B. (0,1) (1,2) (0,3) (2,4) (0,5); inverse is not a function is the answer.