Math Problem Statement

What is the range of this relation? (-8, -3), (-3, -8), (-1, 6), (4, 2)

Solution

To find the range of the given relation, we need to identify all the possible output values (the second element) from each ordered pair. The range consists of these second values.

Here are the ordered pairs provided in the relation: (8,3), (3,8), (1,6), (4,2)(-8, -3),\ (-3, -8),\ (-1, 6),\ (4, 2)

The second values (outputs) are: 3, 8, 6, 2-3,\ -8,\ 6,\ 2

Thus, the range of the relation is: {8,3,2,6}\{-8, -3, 2, 6\}

Now let's match this with the provided answer options. The correct option is: {8,3,2,6}\{-8, -3, 2, 6\}

Do you want more details or have any questions?

Here are 5 related questions for further practice:

  1. What is the domain of this relation?
  2. How do you find the domain and range of a function from its graph?
  3. Can a relation have the same range value for different domain values?
  4. What is the difference between a function and a general relation?
  5. How do you determine if a relation is a function?

Tip: The range of a relation refers to the set of all second elements (outputs), while the domain refers to all first elements (inputs).

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Math Problem Analysis

Mathematical Concepts

Relations
Range
Ordered Pairs

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8