Question: The graph of the relation \( G \) is shown below. [Graph of the relation \( G \) with points…

The graph of the relation \( G \) is shown below.

[Graph of the relation \( G \) with points plotted at (1, 3), (2, 2), (3, 1), and (4, -2)]

Give the domain and range of \( G \).

Write your answers using set notation.

domain = \(\boxed{ }\)

range = \(\boxed{ }\)

Solution

To determine the domain and range of the relation \( G \) from the graph provided, we need to identify the x-coordinates and y-coordinates of the points plotted on the graph. 1. Identify the points on the graph: - The points are approximately \((-3, 3)\), \( (2, 1)\), \( (4, -1)\), and \( (1, -3)\). 2. Determine the domain: - The domain is the set of all x-coordinates from the points. - From the points, the x-coordinates are \(-3\), \(2\), \(4\), and \(1\). 3. Write the domain in set notation: \[ \{ -3, 1, 2, 4 \} \] 4. Determine the range: - The range is the set of all y-coordinates from the points. - From the points, the y-coordinates are \(3\), \(1\), \(-1\), and \(-3\). 5. Write the range in set notation: \[ \{ -3, -1, 1, 3 \} \] Thus, the domain of \( G \) is \(\{ -3, 1, 2, 4 \}\) and the range of \( G \) is \(\{ -3, -1, 1, 3 \}\).