SOLUTION: Please help me with this problem: A function can be represented as a set of ordered pairs where the set of all the first components is the domain and the set of all of the second

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Question 412817: Please help me with this problem:
A function can be represented as a set of ordered pairs where the set of all the first components is the domain and the set of all of the second ordered components is the range. If each ordered pair (a,b) is replaced by (b,a), is the new set still a function?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Maybe, maybe not.

Consider which has the following graph and is clearly a function:



But replacing all of the ordered pairs as stated results in:



Which is clearly not a function. However consider :



and its inverse :



Both of which are functions.

John

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