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Mathematics
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Mathematics
Functions
Mathematics
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Functions
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Definition of function
A relation where each input has only one output
Definition of dependent variable
A variable whose value depends on the values of the other variables
Definition of independent variable
A variable whose value determines the values of the other variables
Definition of relation
The matching of elements from domain to the codomain
Elements in the domain
Known as objects
Elements in the codomain that are matched with the objects
Known as images
Definition of one-to-one function
A relation where the object in the domain has only one image
Definition of many-to-one function
A relation where more than one object is matched to the same image
Definition of one-to-many relation
A relation where the object in the domain has more than one image
Definition of many-to-many relation
A relation where at least one object has more than one image, and more than one object has the same image
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