Math Problem Statement
Given a graph with several plotted points, determine the domain and range.
Solution
The graph you provided shows several points plotted on a coordinate plane. From this, we can determine the domain and range of the set of points.
- Domain: The domain consists of all the x-values of the points in the graph.
- Range: The range consists of all the y-values of the points in the graph.
Let’s analyze the points:
- The first point is at .
- The second point is at .
- The third point is at .
- The fourth point is at .
- The fifth point is at .
Domain:
The domain is the set of x-values: . Since appears twice, it only needs to be listed once. Therefore, the domain is:
Range:
The range is the set of y-values: . So, the range is:
Final Answer:
- Domain:
- Range:
Would you like more details, or do you have any questions?
Here are 5 related questions you could explore:
- What is the significance of domain and range in a function?
- How do you determine if a set of points represents a function?
- Can a domain have repeated values in a function?
- What changes in the graph if we reflect the points across the y-axis?
- How would the range change if we added more points to the graph?
Tip: When graphing points, always organize the coordinates systematically to easily extract the domain and range!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Domain
Range
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8