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function in mathematics

sets, logic and relationships are an important topic in mathematics and beyond, as they recur in everyday life, work and study of any material. Then there are particular types of relationships, such functions, functions have an important capital in mathematical analysis, statistics and probability, computer science, chemistry and so on.


requirements to study well the functions:
sets, operations with sets, logic of propositions, logical operators, relations and property relations.


function is a relation from A to B which has the same domain the set A and codomain a proper or improper subset of B (ie, some or all elements of B). So each element x belonging to A has at least one image y in B, while some or all y in B have a controimmagine A. A report of this type is said to function or application of A in B.

Examples: A = {x} is a student of ITC B belongs to A = {x from which to obtain a final score between 0 and 10, each score is an element of B. It is a function only if all elements of B participate in the course getting a score, even zero, but it get it, then every element of B has only one image in C. In this case, yes.

In addition we must add that a function is a relation between two sets which creates a unique

correspondence.

Properties of functions.

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