Question

what are the domain and range of this relation?
(-2, 0)
(2, -1)
(-9, 8)
(2, -4)

domain: {-9, -2, 0, 2}
range: {-4, -1, 0, 8}

domain: {-9, -2, 2}
range: {-4, -1, 8}

domain: {-9, -2, 2}
range: {-4, -1, 0, 8}

domain: {-9, -2, 0, 2}
range: {-4, -1, 8}

Explanation:

Step1: Recall domain/range definitions

Domain: set of all x - values (first elements of ordered pairs).
Range: set of all y - values (second elements of ordered pairs), with no repeats.

Step2: Identify x - values (domain)

Ordered pairs: \((-2, 0)\), \((2, -1)\), \((-9, 8)\), \((2, -4)\).
x - values: \(-2\), \(2\), \(-9\), \(2\) (but \(2\) is repeated, so domain is \(\{-9, -2, 2\}\)).

Step3: Identify y - values (range)

y - values: \(0\), \(-1\), \(8\), \(-4\) (no repeats needed, so range is \(\{-4, -1, 0, 8\}\)).

Answer:

domain: \(\{-9, -2, 2\}\)
range: \(\{-4, -1, 0, 8\}\) (corresponding to the third option: "domain: \(\{-9, -2, 2\}\); range: \(\{-4, -1, 0, 8\}\)")