Math Problem Statement
Give the domain and range of S using set notation based on the graph provided.
Solution
To find the domain and range of the relation shown in the graph:
- Identify the Domain: The domain consists of all unique -coordinates of the points on the graph.
- Identify the Range: The range consists of all unique -coordinates of the points on the graph.
From the graph:
- The points have -coordinates at , , and .
- The corresponding -coordinates are , , and .
Domain and Range in Set Notation
- Domain:
- Range:
Would you like further details on how these values were identified?
Here are some related questions for deeper understanding:
- How do you determine the domain and range for continuous functions?
- Can a single -value correspond to multiple -values in a relation?
- What is the difference between a relation and a function in terms of domain and range?
- How would you represent a continuous domain in interval notation?
- What would the domain and range look like if more points were added to this relation?
Tip: Always list values in the domain and range only once, even if they appear multiple times on the graph.
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Math Problem Analysis
Mathematical Concepts
Domain and Range
Set Notation
Coordinate Geometry
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8