Questions: Determine whether the set of ordered pairs is a function. (2,7),(15,7),(13,7) Is this set of ordered pairs a function? Yes No

Solution Steps

To determine if a set of ordered pairs is a function, check if each input (first element of the pair) maps to exactly one output (second element of the pair). If any input is associated with more than one output, it is not a function.

The set of ordered pairs is \(\{(2,7),(15,7),(13,7)\}\). Each pair is in the form \((x, y)\), where \(x\) is the input and \(y\) is the output.

For a set of ordered pairs to be a function, each input \(x\) must map to exactly one output \(y\). We list the inputs: \(2\), \(15\), and \(13\).

Since all inputs \(2\), \(15\), and \(13\) are unique, each input maps to exactly one output. Therefore, the set of ordered pairs is a function.

Final Answer