Math Problem Statement

What is the domain of the graph below?

Solution

To determine the domain of the graph, we need to identify all the distinct x-values of the points plotted on the coordinate plane.

By inspecting the graph:

  • There are 6 points on the graph.
  • The x-coordinates (domain values) of these points appear to be: 3,1,1-3, -1, 1.

So, the domain of the graph is {3,1,1}\{-3, -1, 1\}.

This matches option B: {-3, -1, 1}.

Let me know if you would like more details, or if you have further questions.

Follow-up questions:

  1. What is the range of the graph based on the plotted points?
  2. How is the domain of a function related to its graph?
  3. Can a graph have multiple points with the same x-coordinate?
  4. What happens to the domain when a graph is continuous, unlike this discrete graph?
  5. How would you determine the range from a set of points?

Tip: Remember, the domain refers to all possible x-values, while the range refers to all possible y-values. Always check both when analyzing a graph.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Domain and Range

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8