Math Problem Statement
Write the domain of the function using interval notation based on the provided graph.
Solution
The graph represents a function, and the domain of the function is the set of all possible x-values over which the function is defined. Based on the graph provided:
- The function starts at (closed circle, meaning is included) and ends at (closed circle, meaning is also included).
Thus, the domain of the function in interval notation is:
Let me know if you'd like further clarification or have any additional questions!
Here are 5 questions to consider:
- What is the difference between domain and range in a function?
- How does interval notation work, and when should parentheses versus brackets be used?
- Can the range of this specific function also be determined from the graph?
- How would the domain change if one of the endpoints were an open circle?
- What are examples of functions with restricted domains in real-world applications?
Tip: Always pay attention to open versus closed circles when determining the domain and range in graphs.
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Math Problem Analysis
Mathematical Concepts
Graph Analysis
Domain of a Function
Interval Notation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8