Math Problem Statement

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

Solution

The image you uploaded shows a graph with points plotted on it. You need to find the domain and range of these points.

Analyzing the Graph

From the image, we can identify the coordinates of each point. Let's list them:

  • (-3, 2)
  • (0, 1)
  • (2, -1)
  • (3, 0)

Domain

The domain of a set of points is the set of all x-coordinates from these points. Thus, the domain here is: Domain={3,0,2,3}\text{Domain} = \{-3, 0, 2, 3\}

Range

The range of a set of points is the set of all y-coordinates from these points. Thus, the range is: Range={2,1,1,0}\text{Range} = \{2, 1, -1, 0\}

These are the sets of x-values and y-values that your function covers, indicating the domain and range respectively.

Would you like to know more details about how domains and ranges are determined, or do you have any other questions?

Here are some related questions you might find interesting:

  1. How would the domain and range change if more points were added?
  2. What is the importance of understanding domain and range in functions?
  3. How does the domain and range concept apply to continuous functions?
  4. Can domain and range be represented using interval notation for discrete sets of points?
  5. What are the graphical interpretations of domain and range in different types of graphs?

Tip: Always check whether your points include all possible x or y values when determining the domain and range, as any missing values can affect the outcome.

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Math Problem Analysis

Mathematical Concepts

Domain
Range
Coordinate Plane
Relations

Formulas

Domain: Set of all x-coordinates
Range: Set of all y-coordinates

Theorems

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Suitable Grade Level

Grades 6-8