Math Problem Statement

Identify the domain and range of the points plotted on the graph.

Solution

From the graph you provided, we can determine the domain and range of the set of points shown:

Domain: The domain of a function or set of points is the complete set of possible x-values. From the graph, the x-values at which the points occur are:

  • x=3x = -3
  • x=1x = -1
  • x=0x = 0
  • x=3x = 3

So, the domain is {3,1,0,3}\{-3, -1, 0, 3\}.

Range: The range is the complete set of possible y-values. From the graph, the y-values at which the points occur are:

  • y=3y = -3
  • y=2y = -2
  • y=0y = 0
  • y=3y = 3

Thus, the range is {3,2,0,3}\{-3, -2, 0, 3\}.

Would you like to go deeper into any specific mathematical concepts shown here, or do you have any other questions?

Here are some related questions you might consider:

  1. What would the domain and range be if there were more points added in between the existing points on the graph?
  2. How would you describe the function if the points on the graph were connected by a line?
  3. What mathematical operation would you use to find the midpoint between two of the plotted points?
  4. How can you calculate the slope of the line segment between any two points on this graph?
  5. What types of functions could fit the pattern of points plotted on this graph if they were part of a continuous function?

Tip: Remember, when plotting or analyzing points on a graph, always check the scale and units of the axes to ensure accurate interpretation of the data.

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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