Math Problem Statement

What are the domain and range for the above graph?

Solution

The graph provided shows a square-like shape with vertices along the x-axis and y-axis. Let's identify the domain and range based on the graph's extent on the coordinate plane.

Domain:

The domain represents all the x-values that the graph covers. From the image, the graph stretches horizontally from x=4x = -4 to x=4x = 4.

Thus, the domain is: [4,4]\boxed{[-4, 4]}

Range:

The range represents all the y-values that the graph covers. Vertically, the graph spans from y=4y = -4 to y=4y = 4.

Thus, the range is: [4,4]\boxed{[-4, 4]}

Summary:

  • Domain: [4,4][-4, 4]
  • Range: [4,4][-4, 4]

Would you like more details on how to calculate domain and range, or have any questions?

Here are 5 related questions to expand your knowledge:

  1. How is the domain of a function determined from its graph?
  2. What are the differences between domain and range?
  3. How would the domain and range change if the shape of the graph were a circle instead of a square?
  4. Can a graph have a range that is different from its domain?
  5. How does the type of function (linear, quadratic, etc.) affect its domain and range?

Tip: Always observe the farthest left, right, top, and bottom points of a graph to determine its domain and range.

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Math Problem Analysis

Mathematical Concepts

Domain
Range
Graphing
Coordinate Plane

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9