Math Problem Statement
Give the domain and range of the graph shown to the right. The domain of the graph is ______. (Use interval notation)
Solution
From the graph in the image, we can observe that:
- The graph starts at and goes to , which indicates the domain.
- For the range, the graph covers values from up to .
The domain (in interval notation):
Would you like to continue with parts (a) through (d), or provide further details? Here are five relevant questions you might consider:
- What is the range of the graph in interval notation?
- How can you determine whether the graph includes or excludes the endpoints in the domain?
- What is the significance of closed intervals in domain and range?
- How would the domain change if the graph extended beyond ?
- How does the graph behave at the endpoints of the domain?
Tip: When writing interval notation, brackets indicate that the endpoints are included, while parentheses indicate that they are not.
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Graphs
Formulas
Domain: The set of all possible input (x) values
Range: The set of all possible output (y) values
Theorems
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Suitable Grade Level
Grades 9-12