Math Problem Statement
Solution
From the graph you provided, the relation appears to be a rectangle bounded by specific points. We can identify both the domain and range based on the x-values and y-values represented on the graph.
Domain:
The domain is the set of all x-values that are part of the relation. By observing the graph, the horizontal extent of the rectangle is from to .
Thus, the domain in interval notation is:
Range:
The range is the set of all y-values that are part of the relation. From the graph, the vertical extent of the rectangle is from to .
Thus, the range in interval notation is:
Would you like more details on how these intervals were determined, or do you have any other questions?
Here are five related questions that expand on this topic:
- How is the domain and range of a relation defined in a more complex graph?
- Can a relation have the same domain but a different range?
- How would the domain and range change if the rectangle were rotated or skewed?
- What is the difference between the domain of a function and a relation?
- How can you apply domain and range concepts to real-world data?
Tip: When determining the domain and range, always look at the smallest and largest values along the x-axis and y-axis that are covered by the relation or function.
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Math Problem Analysis
Mathematical Concepts
Domain
Range
Interval Notation
Coordinate Geometry
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8