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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)}

Which set of ordered pairs does not represent a function?\newline{(2,9),(4,6),(4,7),(8,4)} \{(2,9),(4,-6),(4,-7),(8,4)\} \newline{(5,1),(8,3),(8,6),(7,1)} \{(5,-1),(-8,-3),(8,6),(-7,-1)\} \newline{(5,5),(1,9),(3,9),(7,0)} \{(5,5),(1,9),(3,9),(-7,0)\} \newline{(5,1),(0,2),(1,1),(1,4)} \{(5,1),(0,-2),(1,1),(-1,-4)\}

Full solution

Q. Which set of ordered pairs does not represent a function?\newline{(2,9),(4,6),(4,7),(8,4)} \{(2,9),(4,-6),(4,-7),(8,4)\} \newline{(5,1),(8,3),(8,6),(7,1)} \{(5,-1),(-8,-3),(8,6),(-7,-1)\} \newline{(5,5),(1,9),(3,9),(7,0)} \{(5,5),(1,9),(3,9),(-7,0)\} \newline{(5,1),(0,2),(1,1),(1,4)} \{(5,1),(0,-2),(1,1),(-1,-4)\}
  1. Check Function Criteria: To determine if a set of ordered pairs represents a function, we need to check if each input (xx-value) maps to exactly one output (yy-value). A function cannot have the same input paired with different outputs.
  2. Examine First Set: Let's examine the first set of ordered pairs: (2,9),(4,6),(4,7),(8,4){(2,9),(4,-6),(4,-7),(8,4)}. We notice that the input 44 is paired with two different outputs: 6-6 and 7-7. This violates the definition of a function.
  3. Conclusion: Since we have found that the input 44 has two different outputs in the first set, we can conclude that this set does not represent a function.

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