Question

which set of ordered pairs represents a function? answer attempt 1 out of 5 {(1,3),(-7,-1),(8,-8),(1,-9)} {(-1,-1),(-9,-1),(-8,0),(-4,-4)} {(6,-5),(-5,3),(-5,-8),(-2,7)} {(-3,5),(-3,-3),(7,-7),(0,5)}

Explanation:

To determine which set of ordered pairs represents a function, we use the definition of a function: each input (x - value) must correspond to exactly one output (y - value). In other words, no two ordered pairs in the set can have the same x - value with different y - values.

1. For the set \(\{(1,3),(-7,-1),(8,-8),(1,-9)\}\):

• The x - value \(1\) is paired with \(y = 3\) and \(y=-9\). So, this is not a function.

1. For the set \(\{(-1,-1),(-9,-1),(-8,0),(-4,-4)\}\):

• The x - values are \(-1\), \(-9\), \(-8\), and \(-4\). Each x - value is paired with only one y - value. \(-1\) is paired with \(-1\), \(-9\) is paired with \(-1\) (it is allowed for different x - values to have the same y - value), \(-8\) is paired with \(0\), and \(-4\) is paired with \(-4\). So, this set represents a function.

1. For the set \(\{(6,-5),(-5,3),(-5,-8),(-2,7)\}\):

• The x - value \(-5\) is paired with \(y = 3\) and \(y=-8\). So, this is not a function.

1. For the set \(\{(-3,5),(-3,-3),(7,-7),(0,5)\}\):

• The x - value \(-3\) is paired with \(y = 5\) and \(y=-3\). So, this is not a function.

Answer:

B. \(\{(-1,-1),(-9,-1),(-8,0),(-4,-4)\}\)