Math Problem Statement
Solution
Let's analyze the relation given:
This set of ordered pairs defines points on a coordinate plane, where the first number in each pair is the x-coordinate and the second number is the y-coordinate. Now, let's map each point on the graph:
- : Move 3 units left and 2 units down.
- : Move 3 units right and 5 units down.
- : Move 4 units right and stay on the x-axis (0 on the y-axis).
- : Move 1 unit right and 6 units up.
From the four graphs in the image, the second graph from the top matches all these points. The selected graph shows:
- A point at
- A point at
- A point at
- A point at
Therefore, the correct graph is the second one, which corresponds to the relation .
Would you like more details or have any questions? Here are some related questions:
- How do you graph points on the coordinate plane?
- What does it mean if a relation is a function?
- How can you tell if a set of points is a function by looking at a graph?
- What is the difference between a relation and a function?
- How do you determine the domain and range of a relation?
Tip: Always remember that the x-coordinate tells you how far to move left or right, and the y-coordinate tells you how far to move up or down.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Graphing Points
Relations
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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