Question

question 1 new assessment determine whether the relation is a function. \\{(5,4), (-2,8), (3,1), (6,8)\\} the relation select choice a function because select choice x - coordinate is mapped to select choice one y - coordinate. select choice is not is

Explanation:

Step1: Recall the definition of a function

A relation is a function if every \( x \)-coordinate (input) is mapped to exactly one \( y \)-coordinate (output).

Step2: Check the \( x \)-coordinates in the relation

The given relation is \( \{(5,4), (-2,8), (3,1), (6,8)\} \). The \( x \)-coordinates are \( 5, -2, 3, 6 \). Each \( x \)-coordinate appears only once. So, each \( x \)-coordinate is mapped to exactly one \( y \)-coordinate.

Answer:

The relation is a function because each \( x \)-coordinate is mapped to one \( y \)-coordinate. So the first "Select Choice" for "is a function" is "is", and the reason is that each \( x \)-coordinate is mapped to one \( y \)-coordinate.