Math Problem Statement

The domain of {(9,1), (-6,1), (4,2)} is {1,2}

Solution

The domain of a set of ordered pairs is the set of all the first components (x-coordinates) of the pairs. Based on the given set:

{(9,1),(6,1),(4,2)}\{(9,1), (-6,1), (4,2)\}

The domain is:

{9,6,4}\{9, -6, 4\}

Explanation:

  • The first element in each pair is part of the domain.
  • The domain is not related to the second elements (the range).
  • Therefore, the domain cannot be {1,2}\{1, 2\}, as those are values from the range (y-coordinates).

Correct Domain:

{9,6,4}\{9, -6, 4\}

Would you like further clarification or assistance with another question?

Related Questions:

  1. What is the range of the set {(9,1),(6,1),(4,2)}\{(9,1), (-6,1), (4,2)\}?
  2. Can an element in the range correspond to multiple elements in the domain?
  3. How does the concept of domain relate to functions and their graphs?
  4. What is the definition of a function in terms of domain and range?
  5. How do you determine if a relation is a function based on its domain and range?

Tip:

Remember, the domain focuses on the x-coordinates, and the range focuses on the y-coordinates.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Relations
Domain and Range

Formulas

Domain: The set of all first elements (x-coordinates) in a set of ordered pairs

Theorems

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Suitable Grade Level

Grades 6-8