To identify which graph represents the given relation, we need to plot each point from the set [tex]\(\{(-3,2), (5,5), (3,3), (3,-2)\}\)[/tex] on a Cartesian plane and then visually check the plotted points.
### Step-by-Step Solution
1. Identify the points in the set:
- Point A: [tex]\((-3, 2)\)[/tex]
- Point B: [tex]\((5, 5)\)[/tex]
- Point C: [tex]\((3, 3)\)[/tex]
- Point D: [tex]\((3, -2)\)[/tex]
2. Plot each point:
- Point A [tex]\((-3, 2)\)[/tex]:
- Move 3 units to the left from the origin (x = -3).
- Move 2 units up from the x-axis (y = 2).
- Mark this point on the graph.
- Point B [tex]\((5, 5)\)[/tex]:
- Move 5 units to the right from the origin (x = 5).
- Move 5 units up from the x-axis (y = 5).
- Mark this point on the graph.
- Point C [tex]\((3, 3)\)[/tex]:
- Move 3 units to the right from the origin (x = 3).
- Move 3 units up from the x-axis (y = 3).
- Mark this point on the graph.
- Point D [tex]\((3, -2)\)[/tex]:
- Move 3 units to the right from the origin (x = 3).
- Move 2 units down from the x-axis (y = -2).
- Mark this point on the graph.
3. Verify the plotted points:
- The points you have marked should now correspond to [tex]\((-3,2)\)[/tex], [tex]\((5,5)\)[/tex], [tex]\((3,3)\)[/tex], and [tex]\((3,-2)\)[/tex].
- Check if there is any specific graph that contains these exact points.
### Conclusion:
- A graph that correctly represents the relation [tex]\(\{(-3,2), (5,5), (3,3), (3,-2)\}\)[/tex] will contain all these four points.
Upon creating or manually viewing possible graphs, the one that has all of the points [tex]\((-3, 2)\)[/tex], [tex]\((5, 5)\)[/tex], [tex]\((3, 3)\)[/tex], and [tex]\((3, -2)\)[/tex] accurately plotted will be the correct representation of the given relation.
Verify the graph using these steps, ensuring all four points are correctly placed on a Cartesian plane.
