Question

look at this set of ordered pairs: (19, -13) (3, 13) (16, 4) (19, 4) (3, 4) 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 \(x = 19\): The ordered pairs are \((19,- 13)\) and \((19,4)\). So \(x = 19\) is paired with two different \(y\) - values (\(-13\) and \(4\)).
• For \(x=3\): The ordered pairs are \((3,13)\) and \((3,4)\). So \(x = 3\) is paired with two different \(y\) - values (\(13\) and \(4\)).

Since there are \(x\) - values that have more than one \(y\) - value, the relation is not a function.

Answer:

no