Math Problem Statement

What is the domain of the relation graphed below?

Solution

The domain of a relation is the set of all possible xx-values that correspond to points on the graph. Based on the image, I will determine the xx-coordinates of the plotted points.

From the graph, the xx-coordinates of the points are:

  • x=5x = -5
  • x=3x = -3
  • x=4x = -4
  • x=1x = 1
  • x=2x = 2
  • x=5x = 5

Thus, the domain of the relation is {5,4,3,1,2,5}\{-5, -4, -3, 1, 2, 5\}.

The correct answer is: domain: {-5, -4, -3, 1, 2, 5}.

Would you like further explanation or details?

Here are 5 related questions for further practice:

  1. What is the range of the relation in the graph?
  2. How do you find the range of a relation?
  3. What is the difference between the domain and range of a relation?
  4. How does one determine if a relation is a function?
  5. What would the domain be if the graph were continuous?

Tip: The domain represents all possible input values (x-values) for a relation, while the range represents all possible output values (y-values).

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Math Problem Analysis

Mathematical Concepts

Relations
Domain and Range
Graphing Points

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8