Math Problem Statement

what is the domain

what is the domain

Solution

The graph shows several points plotted on a Cartesian coordinate plane. To determine the domain, we focus on the x-coordinates of all the points.

Here are the x-coordinates of the plotted points:

  • Point at (-2, 3)
  • Point at (1, -2)
  • Point at (3, 4)
  • Point at (3, 2)
  • Point at (5, 1)
  • Point at (5, -3)

The domain is the set of all x-coordinates of these points: Domain={2,1,3,5}\text{Domain} = \{-2, 1, 3, 5\}

Would you like to explore the range or any other details about this graph?

Here are 5 relative questions to consider:

  1. What is the range of this set of points?
  2. How would the domain change if additional points were added?
  3. Can you describe any patterns in the y-coordinates of these points?
  4. How would you find the domain for a continuous function?
  5. What is the difference between domain and range?

Tip: When identifying the domain of discrete points, only consider the unique x-values where the points exist.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry

Formulas

Domain of a set of points

Theorems

None

Suitable Grade Level

Grades 6-8