Functions: Domain, Codomain, Range Domain: The domain of a function is the set of all possible input values for the function. Example: - The domain...
Functions: Domain, Codomain, Range
Domain:
The domain of a function is the set of all possible input values for the function.
Example:
Codomain:
The codomain of a function is the set of all possible output values.
Example:
Range:
The range of a function is the set of all possible output values.
Example:
Relationship Between Domain, Codomain, and Range:
The domain, codomain, and range of a function are all subsets of the set of all real numbers.
The domain contains all the possible input values, the codomain contains all the possible output values, and the range contains all the possible output values that the function can produce.
Each function defines a unique relationship between the domain and range, where each element in the domain corresponds to exactly one element in the range.
Note:
A function can have a single domain and a single range, but it cannot have a single codomain.
The domain and range of a function can be empty, meaning they have no elements