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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

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QueasyUnicorn14

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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.

The ordered pairs is defined as the composition for \(x\) and \(y\) co-ordinate.  In order pair their are two number which is written in fixed order within parenthesis.

The inverse is not a function.

Given:

x:1, 2, 3, 4, 5

y:0, 1, 0, 2, 0

Write the possible order pair.

\((1,0), (2,1), (3,0), (4,2), (5,0)\)

Inverse function can be determine by interchanging the first and second elements of each ordered pair in the original function.

Write the possible order pair for inverse function.

\((0,1) (1,2) (0,3) (2,4) (0,5)\)

The above order pair input value of 0 does not have unique output so the inverse is not a function.

Learn more about Inverse function here:

https://brainly.com/question/2850177

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