Which set of ordered pairs does not represent a function?{(9,2),(−5,2),(−4,0),(1,9)}{(−3,−5),(0,8),(1,−2),(1,−9)}{(−9,−5),(−5,4),(3,4),(−6,5)}{(1,1),(−1,−8),(9,0),(6,0)}
Q. Which set of ordered pairs does not represent a function?{(9,2),(−5,2),(−4,0),(1,9)}{(−3,−5),(0,8),(1,−2),(1,−9)}{(−9,−5),(−5,4),(3,4),(−6,5)}{(1,1),(−1,−8),(9,0),(6,0)}
Define function as relation: A function is defined as a relation where each input ( extit{x}-value) has exactly one output ( extit{y}-value). To determine which set of ordered pairs does not represent a function, we need to check if there are any repeated extit{x}-values with different extit{y}-values in each set.
Check first set: Check the first set: {(9,2),(−5,2),(−4,0),(1,9)}In this set, all x-values are unique. Therefore, this set represents a function.
Check second set: Check the second set: {(−3,−5),(0,8),(1,−2),(1,−9)}In this set, the x-value 1 appears twice with two different y-values (−2 and −9). This violates the definition of a function.
Identify non-function set: Since we have found a set that does not represent a function, we do not need to check the remaining sets. The second set is the answer to the question prompt.
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