Which set of ordered pairs represents a function? {(-4,-5),(-6,9),(2,-2),(-6,4)} {(1,-5),(3,4),(5,3),(3,-8)} {(-4,-1),(1,1),(2,9),(5,1)} {(-5,8),(-8,5),(-4,-8),(-5,3)}

Question

Which set of ordered pairs represents a function?  {(-4,-5),(-6,9),(2,-2),(-6,4)}  {(1,-5),(3,4),(5,3),(3,-8)}  {(-4,-1),(1,1),(2,9),(5,1)}  {(-5,8),(-8,5),(-4,-8),(-5,3)}

Bytelearn · Accepted Answer

Check for Function Definition:  A set of ordered pairs represents a function if each input (first component of the ordered pair) corresponds to exactly one output (second component of the ordered pair). We will check each set of ordered pairs to see if any input is repeated with a different output. First Set Analysis:  For the first set {(-4,-5),(-6,9),(2,-2),(-6,4)}, we see that the input -6 corresponds to two different outputs, 9 and 4. This violates the definition of a function. Second Set Analysis:  For the second set {(1,-5),(3,4),(5,3),(3,-8)}, we see that the input 3 corresponds to two different outputs, 4 and -8. This also violates the definition of a function. Third Set Analysis:  For the third set {(-4,-1),(1,1),(2,9),(5,1)}, each input corresponds to exactly one output. There are no repeated inputs with different outputs. This set represents a function. Fourth Set Analysis:  For the fourth set {(-5,8),(-8,5),(-4,-8),(-5,3)}, we see that the input -5 corresponds to two different outputs, 8 and 3. This violates the definition of a function. Identify Correct Function:  Since only the third set {(-4,-1),(1,1),(2,9),(5,1)} satisfies the definition of a function, it is the correct answer.

Which set of ordered pairs represents a function? $\newline$ $\{(-4,-5),(-6,9),(2,-2),(-6,4)\}$ $\newline$ $\{(1,-5),(3,4),(5,3),(3,-8)\}$ $\newline$ $\{(-4,-1),(1,1),(2,9),(5,1)\}$ $\newline$ $\{(-5,8),(-8,5),(-4,-8),(-5,3)\}$

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