Math Problem Statement

State the domain and range of each relation from the provided graphs. Use appropriate notation.

Solution

Let's analyze the two graphs to determine the domain and range for each relation:

Left Graph:

  • Domain: The domain refers to all possible x-values. From the graph, the x-values range from 8-8 to 88. Domain=[8,8]\text{Domain} = [-8, 8]

  • Range: The range refers to all possible y-values. The highest y-value is 88 and the lowest y-value is 8-8, so the range also spans from 8-8 to 88. Range=[8,8]\text{Range} = [-8, 8]

Right Graph:

  • Domain: The x-values start from 8-8 and go up to 88. Domain=[8,8]\text{Domain} = [-8, 8]

  • Range: The y-values range from 4-4 to 44. Range=[4,4]\text{Range} = [-4, 4]

Final Answer:

  • Left Graph:

    • Domain: [8,8][-8, 8]
    • Range: [8,8][-8, 8]
  • Right Graph:

    • Domain: [8,8][-8, 8]
    • Range: [4,4][-4, 4]

Let me know if you'd like any further explanation or details!

Related Questions:

  1. How can you identify the domain from a graph?
  2. What are the differences between domain and range?
  3. How do you determine the range for non-linear graphs?
  4. Can the domain of a function ever be infinite?
  5. Why is it important to use proper notation when writing domain and range?

Tip: Always look for the extreme x-values (leftmost and rightmost points) to find the domain and extreme y-values (lowest and highest points) to find the range.

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Math Problem Analysis

Mathematical Concepts

Relations and Functions
Graph Analysis
Domain and Range

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9