Question

what is the domain of this function?
(-4, 5)
(8, 5)
(-1, -9)
(-7, 4)
(10, 1)
(6, 5)
{ -7, -4, -1, 6, 8 }
{ -9, 1, 4, 5 }
{ -7, -4, -1, 6, 8, 10 }
{ 1, 4, 5, 6, 8, 10 }

Explanation:

Step1: Recall domain definition

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

Step2: Identify x - values

The ordered pairs are \((-4, 5)\), \((8, 5)\), \((-1, -9)\), \((-7, 4)\), \((10, 1)\), \((6, 5)\). The first elements (x - values) are \(-4\), \(8\), \(-1\), \(-7\), \(10\), \(6\).

Step3: List and order domain

Listing these x - values and putting them in order: \(-7\), \(-4\), \(-1\), \(6\), \(8\), \(10\).

Answer:

\(\{-7, -4, -1, 6, 8, 10\}\)