Question

the graph of the relation s is shown below.
give the domain and range of s.
write your answers using set notation.
domain =
range =

Explanation:

Step1: Identify the x - coordinates (domain)

First, we find the x - coordinates of the points in the relation \(S\). The points from the graph are \((-1,4)\), \((2,2)\), \((2,0)\), \((3, - 1)\). The x - coordinates (the input values) are \(-1\), \(2\), \(3\).

Step2: Identify the y - coordinates (range)

Next, we find the y - coordinates of the points in the relation \(S\). The y - coordinates (the output values) are \(4\), \(2\), \(0\), \(-1\).

Step3: Write in set notation

For the domain, we list all the unique x - coordinates in a set: \(\{-1,2,3\}\). For the range, we list all the unique y - coordinates in a set: \(\{-1,0,2,4\}\).

Answer:

domain \(=\{-1,2,3\}\)
range \(=\{-1,0,2,4\}\)