Question

what are the domain and range of this function?
(7, -6)
(-4, -10)
(0, -8)
(4, 6)

domain: {-10, 0, 4, 7}
range: {-10, -8, -6, 6}

domain: {-4, 0, 4, 7}
range: {-10, -8, -6, 6}

domain: {-10, 0, 4, 7}
range: {-8, -6, -4, 6}

domain: {-4, 0, 4, 7}
range: {-8, -6, -4, 6}

Explanation:

Step1: Recall domain and range definitions

The domain of a function (given as ordered pairs) is the set of all x - values (the first elements of the ordered pairs), and the range is the set of all y - values (the second elements of the ordered pairs).

Step2: Identify x - values (domain)

The ordered pairs are \((7, - 6)\), \((-4, - 10)\), \((0, - 8)\), \((4, 6)\). The x - values (domain) are \(7,-4,0,4\). So the domain is \(\{-4,0,4,7\}\).

Step3: Identify y - values (range)

The y - values (range) from the ordered pairs are \(-6,-10,-8,6\). So the range is \(\{-10, - 8,-6,6\}\).

Answer:

B. domain: \(\{-4, 0, 4, 7\}\)
range: \(\{-10, -8, -6, 6\}\) (where B is the option with domain \(\{-4, 0, 4, 7\}\) and range \(\{-10, -8, -6, 6\}\))