Math Problem Statement
Find the domain and range of each graph based on the provided visual representation.
Solution
From the graph provided, I will extract the domain and range:
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Domain (D): The domain refers to the set of all possible -values for which the graph exists. In this case:
- The graph starts at (inclusive, closed circle) and ends at (inclusive, closed circle).
- So, the domain is: .
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Range (R): The range refers to the set of all possible -values for which the graph exists.
- The graph’s lowest point is , and its highest point is .
- So, the range is: .
Would you like further details or assistance?
Related Questions:
- What happens to the domain and range if the graph is extended beyond ?
- How do you determine domain and range when there are open circles on the graph?
- Can a graph have a domain but no range? Explain why or why not.
- How do transformations like shifts affect the domain and range of a graph?
- What is the relationship between domain and range for inverse functions?
Tip:
Always pay attention to open versus closed circles on a graph—they indicate whether endpoints are included or excluded in the domain or range!
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Graph Analysis
Formulas
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Theorems
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Suitable Grade Level
Grade 8-10