Math Problem Statement

what is the domain of {(-2, 5) , (4, 9) , (1, -4), (0, 5), (2, -7)}

Solution

The domain of a set of points refers to the collection of all possible input values (x-values) from each point.

Given the set of points {(2,5),(4,9),(1,4),(0,5),(2,7)}\{(-2, 5), (4, 9), (1, -4), (0, 5), (2, -7)\}, the domain consists of all the x-values:

{2,4,1,0,2}\{-2, 4, 1, 0, 2\}

This is the domain of the relation.

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Here are 5 related questions for further exploration:

  1. What is the range of this set of points?
  2. How do you determine the domain of a function from its equation?
  3. Can a domain include repeated x-values in a function?
  4. What is the difference between domain and range?
  5. How do you find the domain of more complex functions like square roots or rational functions?

Tip: For a function to be valid, each x-value (input) should have exactly one y-value (output). Repeated x-values can imply the relation is not a function!

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Math Problem Analysis

Mathematical Concepts

Functions
Domain and Range

Formulas

Domain refers to the set of x-values in a relation or function

Theorems

None explicitly required for this specific problem; focuses on the definition of domain in a relation

Suitable Grade Level

Grades 6-8