Math Problem Statement
he list of ordered pairs below represents a function. { ( 6 , − 6 ) , ( − 3 , − 1 ) , ( 1 , − 8 ) , ( 5 , − 4 ) }
Solution
The list of ordered pairs you provided represents a function because:
- A function is a relation where each input (or -value) is associated with exactly one output (or -value).
- In your list, each -value is unique, which ensures that each input has a corresponding output.
Here’s the set you provided:
Let's check the -values:
- maps to
- maps to
- maps to
- maps to
Since there are no repeated -values, this is indeed a function.
Would you like more details on how to identify whether a set of ordered pairs represents a function? Or do you have any specific questions about this example?
Related Questions:
- What is the difference between a function and a relation?
- Can a set of ordered pairs have multiple -values for one -value?
- How can you graph the function represented by a set of ordered pairs?
- How do you find the domain and range of a function from ordered pairs?
- What is a function’s inverse, and how do you find it from ordered pairs?
Tip: When checking if a set of ordered pairs represents a function, always look for unique -values. If any -value repeats with different -values, it is not a function!
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Math Problem Analysis
Mathematical Concepts
Functions
Ordered Pairs
Relations
Formulas
-
Theorems
Vertical Line Test
Definition of a Function
Suitable Grade Level
Grades 7-9