Problemas

Which set of ordered I pairs represents a function? Answer (4,3),(-7,9),(9,-5),(4,4) (4,-5),(-4,1),(0,5),(-8,5) (4,-7),(4,1),(6,-5),(0,3) (-7,6),(5,-5),(5,1),(4,4)
Solución
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To determine which set of ordered pairs represents a function, we need to check if each input (x-value) is associated with exactly one output (y-value).<br /><br />Let's analyze each set of ordered pairs:<br /><br />1. $\{ (4,3),(-7,9),(9,-5),(4,4)\} $<br /> - In this set, the input 4 is associated with two different outputs: 3 and 4.<br /> - Therefore, this set does not represent a function.<br /><br />2. $\{ (4,-5),(-4,1),(0,5),(-8,5)\} $<br /> - In this set, each input is associated with exactly one output.<br /> - Therefore, this set represents a function.<br /><br />3. $\{ (4,-7),(4,1),(6,-5),(0,3)\} $<br /> - In this set, the input 4 is associated with two different outputs: -7 and 1.<br /> - Therefore, this set does not represent a function.<br /><br />4. $\{ (-7,6),(5,-5),(5,1),(4,4)\} $<br /> - In this set, the input 5 is associated with two different outputs: -5 and 1.<br /> - Therefore, this set does not represent a function.<br /><br />Based on the analysis, the set of ordered pairs that represents a function is:<br />$\{ (4,-5),(-4,1),(0,5),(-8,5)\} $
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