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 y
1 0
2 1
3 0
4 2
5 0
(1 point)
Responses

left parenthesis 1 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, left parenthesis 3 comma 0 right parenthesis, left parenthesis 4 comma 2 right parenthesis, left parenthesis 5 comma 0 right parenthesis; inverse is not a function
Image with alt text: left parenthesis 1 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, left parenthesis 3 comma 0 right parenthesis, left parenthesis 4 comma 2 right parenthesis, left parenthesis 5 comma 0 right parenthesis ; inverse is not a function

left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 2 comma 4 right parenthesis, left parenthesis 0 comma 5 right parenthesis; inverse is not a function
Image with alt text: left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 2 comma 4 right parenthesis, left parenthesis 0 comma 5 right parenthesis ; inverse is not a function

left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis semicolon inverse is a function
Image with alt text: left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis semicolon inverse is a function

left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 2 comma 4 right parenthesis, left parenthesis 0 comma 5 right parenthesis; inverse is a function

1 answer

The ordered pairs for the inverse are: (0,1), (1,2), (0,3), (2,4), (0,5). The inverse is not a function since there are multiple values in the domain (0) that correspond to different values in the range.
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