Provide an example of at least five ordered pairs that do not model a function
To determine if a set of ordered pairs models a function, we need to check if each input (x-value) corresponds to only one output (y-value). If there is any input that maps to multiple outputs, then the set of ordered pairs does not represent a function.
Let's take a look at an example with five ordered pairs that do not model a function:
Ordered Pair: (2, 5)
Explanation: The input 2 maps to the output 5.
Ordered Pair: (3, 4)
Explanation: The input 3 maps to the output 4.
Ordered Pair: (2, 7)
Explanation: The input 2 maps to the output 7.
Ordered Pair: (4, 6)
Explanation: The input 4 maps to the output 6.
Ordered Pair: (3, 9)
Explanation: The input 3 maps to the output 9.
In this example, the ordered pairs (2, 5) and (2, 7) have the same input 2 but different outputs. Similarly, the ordered pairs (3, 4) and (3, 9) have the same input 3 but different outputs. Since there are inputs that correspond to multiple outputs, this set of ordered pairs does not model a function.