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 all the points in the relation \(S\). From the graph, the points are \((- 3,4)\), \((3,3)\), \((4,0)\), \((1, - 1)\). So the x - coordinates (domain values) are \(-3\), \(3\), \(4\), \(1\).

Step2: Identify the y - coordinates (range)

Next, we find the y - coordinates of all the points in the relation \(S\). The y - coordinates of the points \((-3,4)\), \((3,3)\), \((4,0)\), \((1, - 1)\) are \(4\), \(3\), \(0\), \(-1\).

Step3: Write in set notation

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

Answer:

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