Math Problem Statement

What is the domain of the relationship shown in the graph below?

Solution

Let me analyze the graph to determine the domain of the relationship shown.

From the image, the graph appears to have several distinct points plotted on a grid. The domain refers to the set of all possible input values (the x-coordinates) for which the graph has points.

Here is a list of the x-values for the plotted points in the graph:

  • One point at x=3x = -3
  • Two points at x=2x = -2
  • Two points at x=0x = 0
  • One point at x=2x = 2
  • One point at x=4x = 4

Thus, the domain of the relationship is the set of x-values where the graph has points: {3,2,0,2,4}\{-3, -2, 0, 2, 4\}

Would you like further details on domain-related topics or more information on this graph?

Here are five related questions to expand on this concept:

  1. What is the range of the relationship shown in the graph?
  2. How do you determine if a relation is a function based on its graph?
  3. How do we represent the domain and range in interval notation?
  4. What would the domain of this relation look like if it were continuous instead of discrete?
  5. What happens to the domain if additional points are added to this graph?

Tip: Always check for repeated x-values when identifying the domain in a graph, especially if the relation is not a function!

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Domain and Range

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9