Which set of ordered pairs does not represent a function?{(6,7),(5,−6),(9,7),(−1,1)}{(−6,7),(9,2),(−6,8),(−9,−8)}{(5,7),(−3,1),(9,2),(4,1)}{(8,−4),(−9,−4),(3,4),(0,−9)}
Q. Which set of ordered pairs does not represent a function?{(6,7),(5,−6),(9,7),(−1,1)}{(−6,7),(9,2),(−6,8),(−9,−8)}{(5,7),(−3,1),(9,2),(4,1)}{(8,−4),(−9,−4),(3,4),(0,−9)}
Recall Function Definition: Recall the definition of a function.A set of ordered pairs represents a function if for every x-value there is exactly one y-value associated with it. This means that an x-value cannot be paired with more than one y-value.
Examine First Set: Examine the first set of ordered pairs.Set 1: (6,7),(5,−6),(9,7),(−1,1)Check if any x-value is repeated with different y-values.In this set, each x-value is unique, so this set represents a function.
Examine Second Set: Examine the second set of ordered pairs.Set 2: (−6,7),(9,2),(−6,8),(−9,−8)Check if any x-value is repeated with different y-values.In this set, the x-value −6 is paired with two different y-values: 7 and 8. This means that this set does not represent a function.
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