Question

determine whether the relation is a function. give the domain and range for the relation. {(6,6), (2,2), (-3, -3), (-6, -6)} does the given relation represent a function? yes no what is the domain? {} (use a comma to separate answers as needed.) what is the range? {} (use a comma to separate answers as needed.)

Explanation:

Step1: Check for function validity

A relation is a function if each input (x-value) has exactly one output (y-value). For the set $\{(6,6), (2,2), (-3,-3), (-6,-6)\}$, all x-values ($6, 2, -3, -6$) are unique, so each maps to only one y-value.

Step2: Identify the domain

The domain is all unique x-values from the ordered pairs.
Domain: $\{-6, -3, 2, 6\}$

Step3: Identify the range

The range is all unique y-values from the ordered pairs.
Range: $\{-6, -3, 2, 6\}$

Answer:

Does the given relation represent a function?
Yes

What is the domain?
$\{-6, -3, 2, 6\}$

What is the range?
$\{-6, -3, 2, 6\}$