Math Problem Statement
Solution
Let's analyze the graph to determine the domain and range of the relation .
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Domain: The domain consists of all the -coordinates of the points on the graph. Looking at the points on the graph, the -coordinates are:
So, the domain is:
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Range: The range consists of all the -coordinates of the points on the graph. The -coordinates are:
So, the range is:
Thus, the domain and range of the relation are:
Would you like further clarification on this, or should I provide additional details?
Here are five related questions to expand on this topic:
- What is the difference between the domain and range of a function?
- Can a relation have the same -value mapped to multiple -values?
- How do we determine if a relation is a function from its graph?
- How does the range change if we reflect the graph across the -axis?
- What is the domain and range for common functions like or ?
Tip: When identifying the domain and range from a graph, always check the extent of the points on both the -axis and the -axis for a clear set of values.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Functions
Formulas
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Theorems
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Suitable Grade Level
High School