Question

does the relation shown below define a function? {(-3,8), (1,5), (4,-8), (9,6), (11,-6)} yes no

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (x - value) has exactly one output (y - value). In other words, no two ordered pairs in the relation can have the same x - value with different y - values.

Step2: Check the x - values of the given relation

The given relation is \(\{(-3,8),(1,5),(4, - 8),(9,6),(11,-6)\}\). The x - values are \(-3\), \(1\), \(4\), \(9\), and \(11\). Each of these x - values appears only once, meaning each input has exactly one output.

Answer:

Yes