Question

what is the domain of the following relation?{(-10, 2), (-5, 6), (4, 6), (4, -5), (8, 0), (-4, -3)}○ all real numbers○ {-5, -3, 0, 2, 6}○ {-10, -5, -4, 4, 8}○ {-10, -5, -4, -3, 0, 2, 4, 6, 8}

Explanation:

Step1: Recall domain definition

The domain of a relation (set of ordered pairs) is the set of all first elements (x - values) of the ordered pairs.

Step2: Identify first elements

From the ordered pairs \((-10, 2)\), \((-5, 6)\), \((4, 6)\), \((4, -5)\), \((8, 0)\), \((-4, -3)\), the first elements are \(-10\), \(-5\), \(4\), \(4\), \(8\), \(-4\).

Step3: Remove duplicates

After removing duplicate values, the domain elements are \(-10\), \(-5\), \(-4\), \(4\), \(8\).

Answer:

\(\{-10, -5, -4, 4, 8\}\) (corresponding to the option: \(\{-10, -5, -4, 4, 8\}\))