Question

write the domain for \\( f\\{(-4; 3), (2; 1), (0;3), (-3;-2)\\}\\)\\( x\in \\{-4; -3; 0; 2\\}\\)\\( y\in \\{-2; 1; 3\\}\\)\\( x\in \\{-2; 1; 3\\}\\)\\( y\in \\{-4; -3; 0; 2\\}\\)

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 x - values from ordered pairs

The ordered pairs are \((-4, 3)\), \((2, 1)\), \((0, 3)\), \((-3, -2)\). The x - values (first elements) are \(-4\), \(2\), \(0\), \(-3\).

Step3: Match with the options

Looking at the options, the set \(x\in\{-4; - 3;0;2\}\) contains all these x - values.

Answer:

\(x\in\{-4; - 3;0;2\}\)