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.
The ordered pairs is defined as the composition for [tex]x[/tex] and [tex]y[/tex] 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.
[tex](1,0), (2,1), (3,0), (4,2), (5,0)[/tex]
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.
[tex](0,1) (1,2) (0,3) (2,4) (0,5)[/tex]
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
