Question

look at this set of ordered pairs: (14, 18) (15, 18) (14, 8) (-14, 9) (4, 8) (4, 9) is this relation a function? yes no

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value).

Step2: Check x - values

• For \(x = 14\): We have \((14,18)\) and \((14,8)\). So \(x = 14\) maps to two different \(y\) - values (\(18\) and \(8\)).
• For \(x = 4\): We have \((4,8)\) and \((4,9)\). So \(x = 4\) maps to two different \(y\) - values (\(8\) and \(9\)).

Since there are input values that map to more than one output value, the relation is not a function.

Answer:

no