Question

look at this set of ordered pairs: (14, 4) (10, 11) (14, 11) (-6, 4) (-10, -4) is this relation a function? yes no submit

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

• For the ordered pair \((14,4)\), the x - value is \(14\) and the y - value is \(4\).
• For the ordered pair \((14,11)\), the x - value is also \(14\) but the y - value is \(11\).

Since the x - value \(14\) is associated with two different y - values (\(4\) and \(11\)), the relation does not satisfy the definition of a function.

Answer:

no