Math Problem Statement
Solve the
Solution
The image shows a graph of a function, and the task is to find the domain and range of the function.
Domain:
The domain of a function is the set of all possible input values (x-values) for which the function is defined. In the graph:
- The graph starts at and ends at .
- Therefore, the domain is .
Range:
The range of a function is the set of all possible output values (y-values) that the function can take.
- The highest point on the graph occurs at .
- The lowest point occurs at .
- Therefore, the range is .
Answer:
- Domain:
- Range:
Would you like any further details or explanations?
Here are five related questions to deepen your understanding:
- How does one determine the domain and range from a graph with open or closed endpoints?
- What is the importance of the domain and range in defining a function?
- How would the domain and range change if the graph had arrows extending infinitely?
- Can the domain of a function be a discrete set of points? Give an example.
- How does the concept of domain and range apply to real-world situations?
Tip: When determining the domain and range from a graph, carefully observe the endpoints and whether they are included (closed dot) or not (open dot).
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Math Problem Analysis
Mathematical Concepts
Functions
Graphing
Domain and Range
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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