Which set of ordered pairs does not represent a function?{(2,9),(4,−6),(4,−7),(8,4)}{(5,−1),(−8,−3),(8,6),(−7,−1)}{(5,5),(1,9),(3,9),(−7,0)}{(5,1),(0,−2),(1,1),(−1,−4)}
Q. Which set of ordered pairs does not represent a function?{(2,9),(4,−6),(4,−7),(8,4)}{(5,−1),(−8,−3),(8,6),(−7,−1)}{(5,5),(1,9),(3,9),(−7,0)}{(5,1),(0,−2),(1,1),(−1,−4)}
Check Function Criteria: To determine if a set of ordered pairs represents a function, we need to check if each input (x-value) maps to exactly one output (y-value). A function cannot have the same input paired with different outputs.
Examine First Set: Let's examine the first set of ordered pairs: (2,9),(4,−6),(4,−7),(8,4). We notice that the input 4 is paired with two different outputs: −6 and −7. This violates the definition of a function.
Conclusion: Since we have found that the input 4 has two different outputs in the first set, we can conclude that this set does not represent a function.
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