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Questions and Answers
Any set of ordered pairs is called a ___________.
Any set of ordered pairs is called a ___________.
relation
The set of all first components of the ordered pairs is called the __________.
The set of all first components of the ordered pairs is called the __________.
domain
The set of all second components of the ordered pairs is called the __________.
The set of all second components of the ordered pairs is called the __________.
range
A ________ is a special type of relation in which each first component in the ordered pairs corresponds to exactly one second component.
A ________ is a special type of relation in which each first component in the ordered pairs corresponds to exactly one second component.
What does the notation f(x) describe?
What does the notation f(x) describe?
Flashcards
Relation
Relation
A set of ordered pairs.
Domain
Domain
The set of all first components in a relation's ordered pairs
Range
Range
The set of all second components in a relation's ordered pairs
Function
Function
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f(x)
f(x)
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Study Notes
Relations in Mathematics
- A relation is defined as any set of ordered pairs.
- Ordered pairs consist of first and second components, typically denoted as (x, y).
Domain and Range
- The domain refers to the set of all first components from the ordered pairs.
- The range represents the set of all second components from the ordered pairs.
Functions
- A function is a specific type of relation.
- In a function, each first component (input) corresponds to exactly one second component (output).
Function Notation
- The notation f(x) is used to represent the value of the function f at a specific input x.
- This notation highlights the relationship between the input and the function’s output.
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