3 Character Of Function

By its nature the function is divided into:

1. Surjective Functions

The surjective sunctions is a function for which each resultant element (R_f) is the least shadow of the codomain region (K_f).
The sentence is mathematically defined:
Eg f : A → B is a function. If R_f = 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 (D_f) has a different pair of kodomain (K_f),
The sentence is mathematically defined :
Eg f: A → B is a function and R_f is the result region f.
If x¹ and x² are any two elements on D_f, 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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