Question

what is the domain of this relation?
(4, -1)
(2, 7)
(-6, 0)
(-1, 8)
(1, 5)
(-1, -4)
{-4,1,2,4,7} {-4, -1, 0,5,7,8}
{-6, -1,1,2,4} {-6, -4, -1, 2, 4, 8}

Explanation:

Step1: Identify domain definition

The domain of a relation is the set of all first values (x-values) from each ordered pair.

Step2: List all x-values

From the pairs $(4, -1), (2, 7), (-6, 0), (-1, 8), (1, 5), (-1, -4)$, the x-values are $4, 2, -6, -1, 1, -1$.

Step3: Remove duplicates, sort values

Eliminate repeated values and arrange in ascending order: $-6, -1, 1, 2, 4$.

Answer:

$\{-6, -1, 1, 2, 4\}$ (matches the third option)