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:
The domain consists of all the first elements from each pair:
Since the number 8 appears twice, we only list it once. So, the domain of this relation is:
Would you like more details or have any other questions? Here are some related questions to expand on this concept:
- What is the range of this relation?
- How does the concept of a domain apply in a function vs a general relation?
- Can a relation have an infinite domain? If so, give an example.
- How do you determine if a relation is a function from its domain and range?
- 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