Math Problem Statement

What is the range of this relation? (–8,6)(6,1)(-7,–5)(–7,–3)(7,–3)

Solution

To find the range of a relation, we need to identify the set of all y-values (second elements) from the ordered pairs.

The given relation consists of the following pairs:

(8,6),(6,1),(7,5),(7,3),(7,3)(-8, 6), (6, 1), (-7, -5), (-7, -3), (7, -3)

From these pairs, the y-values are:

  • 6
  • 1
  • -5
  • -3
  • -3 (repeated)

So, the distinct y-values are:

{6,1,5,3}\{6, 1, -5, -3\}

Thus, the range of the relation is:

{6,1,5,3}\{6, 1, -5, -3\}

Would you like a more detailed explanation or any additional questions?

Related Questions:

  1. How do you find the domain of a relation?
  2. What is the difference between a function and a relation?
  3. How do you determine if a relation is a function?
  4. Can a relation have repeated y-values?
  5. What does the concept of "range" mean in functions and relations?

Tip:

When identifying the range of a relation, focus only on the second component (y-values) of each ordered pair and remove any duplicates.

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Math Problem Analysis

Mathematical Concepts

Relations
Range of a Relation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8