Question
Which set of ordered pairs does not represent a function?
Answer
$\{(5,-8),(3,5),(3,-3),(2,8)\}$
$\{(-6,-6),(8,2),(1,-6),(-2,-2)\}$
$\{(-1,-3),(0,2),(4,-6),(-2,2)\}$
$\{(5,-4),(-7,-1),(-8,7),(-5,4)\}$
Answer
\(\boxed{\text{The relation given by the set of ordered pairs } \{(5,-8),(3,5),(3,-3),(2,8)\} \text{ is not a function.}}\)
Step 1 ：A function is a relation in which each input has exactly one output. In other words, for every x-value there is exactly one y-value.
Step 2 ：We can determine whether a relation is a function by checking if any x-values are repeated with different y-values.
Step 3 ：Looking at the sets of ordered pairs, we can see that the first set has the x-value 3 repeated with two different y-values, 5 and -3.
Step 4 ：Therefore, this set does not represent a function.
Step 5 ：\(\boxed{\text{The relation given by the set of ordered pairs } \{(5,-8),(3,5),(3,-3),(2,8)\} \text{ is not a function.}}\)
