Math Problem Statement

What is the domain of the graphed relation?

Solution

The question asks for the domain of the graphed relation. The domain consists of all the possible x-values corresponding to points plotted on the graph.

Looking at the graph:

  • The points are located at:
    1. (-3, -2)
    2. (-2, 3)
    3. (-1, -4)
    4. (0, 0)
    5. (1, 2)
    6. (4, -1)

The domain is the set of all unique x-values from these points, which are: 3,2,1,0,1,4-3, -2, -1, 0, 1, 4.

Thus, the correct domain is: {3,2,1,0,1,4}\{-3, -2, -1, 0, 1, 4\}.

This matches the option 3,2,1,0,1,4\boxed{-3, -2, -1, 0, 1, 4}, which is the last choice provided in the options.

Would you like a deeper explanation, or do you have any further questions?

Here are 5 related questions to expand your understanding:

  1. What is the range of this graphed relation?
  2. How do you determine the range from a graph of points?
  3. What is the difference between domain and range?
  4. How can the domain change if the graph were continuous instead of discrete points?
  5. Can a relation have multiple points with the same x-value in its domain?

Tip: The domain of a relation refers to all possible x-values, while the range refers to all possible y-values.

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Math Problem Analysis

Mathematical Concepts

Algebra
Relations
Graphing

Formulas

-

Theorems

Domain of a relation

Suitable Grade Level

Grades 7-9