Math Problem Statement

Identify the domain and the range of the relation shown in the figure.

Solution

To determine the domain and range of the relation in the given graph:

  1. Domain: The domain consists of all the x-coordinates of the points in the graph.

    • From the graph, the x-coordinates of the points are: 6,4,2,2,4,6-6, -4, -2, 2, 4, 6
  2. Range: The range consists of all the y-coordinates of the points in the graph.

    • From the graph, the y-coordinates of the points are: 4,2,0,2,4,6-4, -2, 0, 2, 4, 6

Final Answer:

  • Domain: {-6, -4, -2, 2, 4, 6}
  • Range: {-4, -2, 0, 2, 4, 6}

Let me know if you need a detailed explanation or have questions!

Expanding Knowledge: Related Questions

  1. How can you determine if a relation is a function from a graph?
  2. What is the difference between domain and range?
  3. How do you represent a domain and range for continuous graphs?
  4. How do you identify domain and range from an equation?
  5. Can a domain or range have repeating values?

Tip: The domain and range can be listed in any order but should not include duplicates!

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Math Problem Analysis

Mathematical Concepts

Algebra
Relations
Functions
Domain
Range

Formulas

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Theorems

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Suitable Grade Level

Grade 8-10