Which set of ordered pairs does not represent a function?{(−7,−4),(−4,8),(9,−7),(−3,2)}{(−9,4),(5,−3),(3,−9),(−1,4)}{(3,−4),(1,5),(3,−1),(−6,4)}{(9,−6),(−8,−6),(−7,−1),(2,4)}
Q. Which set of ordered pairs does not represent a function?{(−7,−4),(−4,8),(9,−7),(−3,2)}{(−9,4),(5,−3),(3,−9),(−1,4)}{(3,−4),(1,5),(3,−1),(−6,4)}{(9,−6),(−8,−6),(−7,−1),(2,4)}
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 (−7,−4),(−4,8),(9,−7),(−3,2) for any repeated x-values with different y-values.There are no repeated x-values in this set, so this set represents a function.
Check second set: Check the second set (−9,4),(5,−3),(3,−9),(−1,4) for any repeated x-values with different y-values.There are no repeated x-values in this set, so this set represents a function.
Check third set: Check the third set {(3,−4),(1,5),(3,−1),(−6,4)} for any repeated x-values with different y-values.The x-value 3 appears twice with different y-values (−4 and −1), so this set does not represent a function.
Check fourth set: Check the fourth set (9,−6),(−8,−6),(−7,−1),(2,4) for any repeated x-values with different y-values.There are no repeated x-values in this set, so this set represents a function.
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