3 Character Of Function
By its nature the function is divided into:
The sentence is mathematically defined:
Eg f : A → B is a function. If Rf = B or the resulted region of function f is equal to the codomain f, then f is a surjective function.
The sentence is mathematically defined :
Eg f: A → B is a function and Rf is the result region f.
If x1 and x2 are any two elements on Df, if x1 → x2 leads to f(x1) → f(x2) and if f(x1) → f(x2) causes x1 → x2, then f : A → B is called an inject function or a one-on-one function.
Example :
Answer :
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Referensi :
1. Surjective Functions
The surjective sunctions is a function for which each resultant element (Rf) is the least shadow of the codomain region (Kf).The sentence is mathematically defined:
Eg f : A → B is a function. If Rf = B or the resulted region of function f is equal to the codomain f, then f is a surjective function.
2. Injection Function
The inject function is a function in which each domain element (Df) has a different pair of kodomain (Kf),The sentence is mathematically defined :
Eg f: A → B is a function and Rf is the result region f.
If x1 and x2 are any two elements on Df, if x1 → x2 leads to f(x1) → f(x2) and if f(x1) → f(x2) causes x1 → x2, then f : A → B is called an inject function or a one-on-one function.
3. Bijektif Function
The bijektif function is one-to-one korespodensi, a function that each member of the domain is paired exactly one to the members of the codomain and each member of the codomain is a pair of one and only one member of the domain.Example :
Answer :
- The a arrow diagram is a surjective function because the Range element is the same as the Kodomain element.
- The b arrow diagram is an injectable function because the number of domain elements is equal to the number of range elements.
- The c arrow diagram is a function of surjective, injektif, and bijektif.
- The d arrow diagram is a surjective function because the Range element is the same as the Kodomain element.
- The arrow diagram e is a bijektif function because the Range element is the same as the kodomain element.
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Referensi :
- To'Ali's book math group accounting and sales
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