Math Problem Statement

What is the domain of this relation? (8, -8), (-8, 10), (3, 7), (-2, 1), (4, 6), (8, 2)

Solution

The question asks for the domain of the given relation. In mathematics, the domain of a relation is the set of all the first elements (x-values) from each ordered pair.

Here are the given pairs:

(8,8),(8,10),(3,7),(2,1),(4,6),(8,2)(8, -8), (-8, 10), (3, 7), (-2, 1), (4, 6), (8, 2)

The domain consists of all the first elements from each pair:

{8,8,3,2,4,8}\{8, -8, 3, -2, 4, 8\}

Since the number 8 appears twice, we only list it once. So, the domain of this relation is:

{8,8,3,2,4}\{8, -8, 3, -2, 4\}

Would you like more details or have any other questions? Here are some related questions to expand on this concept:

  1. What is the range of this relation?
  2. How does the concept of a domain apply in a function vs a general relation?
  3. Can a relation have an infinite domain? If so, give an example.
  4. How do you determine if a relation is a function from its domain and range?
  5. What is the difference between the domain of a relation and the domain of a function?

Tip: The domain of a function or relation is all about the "input" values that can go into it, while the range refers to the possible "output" values.

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Math Problem Analysis

Mathematical Concepts

Relations
Domain and Range

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9