Question

what are the domain and range of this function?
(-1, 10)
(4, -5)
(10, 9)
(6, 6)

domain: {-1, 4, 6, 10}
range: {-5, 6, 10}

domain: {-1, 4, 6}
range: {-5, 6, 9, 10}

domain: {-1, 4, 6}
range: {-5, 6, 10}

domain: {-1, 4, 6, 10}
range: {-5, 6, 9, 10}

Explanation:

Step1: Recall domain and range definitions

The domain of a function is the set of all input values (x - values in ordered pairs \((x,y)\)), and the range is the set of all output values (y - values in ordered pairs \((x,y)\)).

Step2: Identify x - values (domain)

Given the ordered pairs \((-1, 10)\), \((4, -5)\), \((10, 9)\), \((6, 6)\), the x - values (inputs) are \(-1\), \(4\), \(10\), \(6\). So the domain is \(\{-1, 4, 6, 10\}\).

Step3: Identify y - values (range)

The y - values (outputs) from the ordered pairs are \(10\), \(-5\), \(9\), \(6\). So the range is \(\{-5, 6, 9, 10\}\).

Answer:

domain: \(\{-1, 4, 6, 10\}\)
range: \(\{-5, 6, 9, 10\}\) (the last option in the given choices)