Math Problem Statement

Whats the domain and range of this relation (10,9),(-2,-5),(7,10),(3,0)

Solution

The domain and range of a relation are the sets of all possible xx-values and yy-values, respectively, for the given points.

Given the points (10,9)(10, 9), (2,5)(-2, -5), (7,10)(7, 10), and (3,0)(3, 0):

  • Domain: The domain is the set of all xx-values.

    Domain={10,2,7,3}\text{Domain} = \{10, -2, 7, 3\}

  • Range: The range is the set of all yy-values.

    Range={9,5,10,0}\text{Range} = \{9, -5, 10, 0\}

So, the domain of the relation is {10,2,7,3}\{10, -2, 7, 3\} and the range is {9,5,10,0}\{9, -5, 10, 0\}.

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:

  1. How would the domain and range change if one more point was added to the relation?
  2. What is the difference between the domain and range of a function versus a relation?
  3. Can the domain or range of a relation be a continuous interval?
  4. How would you determine if this relation is a function?
  5. How can you graph the relation to visualize the domain and range?

Tip: In a function, each xx-value (from the domain) is associated with exactly one yy-value (from the range). This isn't necessarily the case for a general relation.

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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

High School