Function


When we talk about, for example, “function A in B” (f: A     B) means that “there is a relation between the elements of set A and the elements of set B”. This relation is always specific and determined. However, to be a function, each element of set A must have only one correspondent in set B (Picture 1). The set A is called domain – D (f), the set B is called codomain and the function assumed values are called the image – Im (f).
In the function graphic there are the coordinates x and y which represents, respectively, the domain and the codomain (Picture 2). Still observing the Picture 2, we notice the parabola indicates the coordinate Y dots which correspond to the function image.
There are algebraic functions (Picture 2), that include a finite number of algebraic operations, and transcendental functions that are exponential, logarithmic, trigonometrical (Picture 3) and others.


ReferencE- FERNANDES, D.B.(Org). Calculo diferencial. São Paulo :  Pearson Education do Brasil, 2014   

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