Question

concept 3: domain and range

1. circle yes or no to identify whether the relation is a fun

function: yes or no?
domain:____ is between __ and ____
range: is between and

Explanation:

Step1: Check Vertical Line Test

A relation is a function if no vertical line intersects its graph more than once. For the given graph (a line segment with a closed dot at \( x = -6 \) and an open dot at \( x = 6 \)), any vertical line will intersect at most once. So it passes the vertical line test.

Step2: Determine Domain

The domain is the set of \( x \)-values. The leftmost point (closed dot) is at \( x = -6 \), and the rightmost point (open dot) is at \( x = 6 \). So \( x \) is between \( -6 \) (inclusive) and \( 6 \) (exclusive).

Step3: Determine Range (Optional for Function Check)

The range is the set of \( y \)-values, but for the function check, we already confirmed via vertical line test.

Answer:

Function: Yes
Domain: \( x \) is between \( -6 \) and \( 6 \) (with \( -6 \) inclusive, \( 6 \) exclusive)