Question

what are the domain and range of this function?
(-10, -2)
(1, 10)
(6, 1)
(-1, -7)
(5, -2)

domain: {-10, -1, 5, 6}
range: {-10, -7, -2, 1, 10}

domain: {-10, -1, 5, 6}
range: {-7, -2, 1, 10}

domain: {-10, -1, 1, 5, 6}
range: {-10, -7, -2, 1, 10}

domain: {-10, -1, 1, 5, 6}
range: {-7, -2, 1, 10}

Explanation:

Step1: Identify Domain (x - values)

The domain of a function is the set of all x - coordinates from the ordered pairs. The ordered pairs are \((-10, -2)\), \((1, 10)\), \((6, 1)\), \((-1, -7)\), \((5, -2)\). So the x - values (domain) are \(-10\), \(1\), \(6\), \(-1\), \(5\). So the domain is \(\{-10, -1, 1, 5, 6\}\).

Step2: Identify Range (y - values)

The range of a function is the set of all y - coordinates from the ordered pairs. The y - values from the ordered pairs are \(-2\), \(10\), \(1\), \(-7\), \(-2\). After removing duplicates, the y - values (range) are \(-7\), \(-2\), \(1\), \(10\). So the range is \(\{-7, -2, 1, 10\}\).

Answer:

domain: \(\{-10, -1, 1, 5, 6\}\)
range: \(\{-7, -2, 1, 10\}\) (the option with this domain and range)