Math Problem Statement
Is this relation a function?
Solution
To determine if a relation is a function, we need to check if each input (or element from the domain) corresponds to exactly one output (or element from the range). In other words, a relation is a function if no input is associated with more than one output.
To assess this, you can:
- List the ordered pairs in the relation.
- Check for repeated inputs with different outputs.
If any input has more than one output, the relation is not a function. If every input has exactly one output, the relation is a function.
If you have specific ordered pairs or a graph to evaluate, please provide them, and I can give you a more precise answer.
Do you want more details or have any questions?
Here are 5 questions related to this topic:
- How do you determine the domain and range of a relation?
- What is the vertical line test, and how does it relate to functions?
- Can a function have two inputs that map to the same output?
- What are some examples of relations that are not functions?
- How does the definition of a function change when considering multiple variables?
Tip: When checking if a relation is a function, remember that each input must have one and only one output. If you see the same input paired with different outputs, it’s not a function.
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Math Problem Analysis
Mathematical Concepts
Functions
Relations
Formulas
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Theorems
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Suitable Grade Level
High School
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