Math Problem Statement

Which graph represents the relation {(-3, -2), (3, -5), (4, 0), (1, 6)}?

Solution

Let's analyze the relation given:
{(3,2),(3,5),(4,0),(1,6)}\{(-3, -2), (3, -5), (4, 0), (1, 6)\} 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:

  1. (3,2)(-3, -2): Move 3 units left and 2 units down.
  2. (3,5)(3, -5): Move 3 units right and 5 units down.
  3. (4,0)(4, 0): Move 4 units right and stay on the x-axis (0 on the y-axis).
  4. (1,6)(1, 6): 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 (3,2)(-3, -2)
  • A point at (3,5)(3, -5)
  • A point at (4,0)(4, 0)
  • A point at (1,6)(1, 6)

Therefore, the correct graph is the second one, which corresponds to the relation {(3,2),(3,5),(4,0),(1,6)}\{(-3, -2), (3, -5), (4, 0), (1, 6)\}.

Would you like more details or have any questions? Here are some related questions:

  1. How do you graph points on the coordinate plane?
  2. What does it mean if a relation is a function?
  3. How can you tell if a set of points is a function by looking at a graph?
  4. What is the difference between a relation and a function?
  5. 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