Question

worksheets/review labs/projects content
question 1
determine whether the relation is a function.
{(-9, -1), (-9, -4), (2, -9), (4, 5), (9, 3)}
function
not a function

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: Analyze the given relation

The given relation is \(\{(-9, -1), (-9, -4), (2, -9), (4, 5), (9, 3)\}\). We look at the x - values of each ordered pair. The x - value \(-9\) appears in two ordered pairs: \((-9, -1)\) and \((-9, -4)\). For the x - value \(-9\), we have two different y - values (\(-1\) and \(-4\)). This violates the definition of a function because an input (\(-9\)) is associated with more than one output.

Answer:

Not a function