Question

look at this set of ordered pairs: (10, 7) (14, 8) (1, -12) is this relation a function? yes no

Explanation:

Step1: Recall the definition of a function

A relation is a function if 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 ordered pairs

The given ordered pairs are \((10,7)\), \((14,8)\), and \((1, - 12)\). The x - values here are \(10\), \(14\), and \(1\). Each of these x - values appears only once, meaning each input has exactly one output.

Answer:

yes