Math Problem Statement
Determine the domain of the following graph.
Solution
To determine the domain of the given graph, we analyze the x-values where the graph exists.
Analysis:
- The graph starts at x = -6 (inclusive), as indicated by the solid circle at .
- It ends at x = 8 (inclusive), as indicated by the solid circle at .
- There are no breaks or discontinuities in the x-values from to .
Domain:
The domain of the graph is:
This means all x-values between and , including the endpoints, are part of the domain.
Would you like details about interpreting open and closed intervals, or help with related topics?
5 Related Questions:
- What is the range of the given graph?
- How do you determine whether a point is included (solid circle) or excluded (open circle) from the domain or range?
- What is the difference between domain and range in mathematics?
- How can domain be represented in interval notation versus set-builder notation?
- How would the domain change if there were gaps or open circles in the graph?
Tip:
When finding the domain, always focus on the x-values and check for solid or open points and continuity along the x-axis.
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Math Problem Analysis
Mathematical Concepts
Domain and Range
Interval Notation
Graph Analysis
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8