explain domain,codomain,range of a function
Answers
Step-by-step explanation:
- Domain: A domain contains a group of computers that can be accessed and administered with a common set of rules. ... For example, a company may require all local computers to be networked within the same domain so that each computer can be seen from other computers within the domain or located from a central server.
- Codomain: In mathematics, the codomain or set of destination of a function is the set into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y.
- Range of a function:The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
Function:
A function relates each element of a set with exactly one element of another set (possibly the same set).
Domain, Co domain and Range:
the domain is all the values that go into a function, and the range is all the values that come out.
=> What can go into a function is called the Domain
=> What may possibly come out of a function is called the Co domain
=> What actually comes out of a function is called the Range
Example: a simple function like f(x) = x2 can have the domain (what goes in) of just the counting numbers {1,2,3,...}, and the range will then be the set {1,4,9,...}
And another function g(x) = x2 can have the domain of integers {...,-3,-2,-1,0,1,2,3,...}, in which case the range is the set {0,1,4,9,...}
Even though both functions take the input and square it, they have a different set of inputs, and so give a different set of outputs.
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