Math Problem Statement
Determine whether the relation is a function, and give the domain and range. 24 8 4 13 15
Solution
To determine whether a relation is a function, we need to know if each input (domain) is associated with exactly one output (range). In the given problem, it appears that only values are provided without a clear relation between them. Therefore, we need to clarify the nature of the relation.
Assuming these numbers represent outputs associated with some inputs, we can't definitively determine if it's a function without knowing the inputs. Let's assume the given numbers are part of an ordered pair relation, such as:
We need to verify that each input maps to exactly one output .
Domain and Range:
- Domain: The set of all possible inputs . Without specific inputs given, we can only say that the domain is .
- Range: The set of all possible outputs . Given the numbers provided:
- Range:
Checking if it's a Function:
- Since each must map to exactly one , if we assume no repeated values, this relation is a function. If any input maps to more than one , it is not a function.
However, based on the given numbers, there is no indication of repeated values or multiple mappings. Therefore, assuming unique inputs, the relation can be considered a function.
Summary:
- Relation: Function (assuming unique inputs)
- Domain:
- Range:
Would you like to provide additional information or clarify the inputs? If you have any questions or need more details, please let me know.
Relative Questions:
- What is a mathematical function, and how is it defined?
- How do you determine the domain of a function?
- How do you determine the range of a function?
- What is the difference between a function and a relation?
- Can a function have the same output for different inputs?
- How can we visually represent a function using a graph?
- What are some examples of common mathematical functions?
- How does the vertical line test help determine if a graph represents a function?
Tip:
When analyzing functions, always ensure that each input value maps to exactly one output value to meet the definition of a function.
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Formulas
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Theorems
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Suitable Grade Level
High School
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