question paper of algebra

{(1, 1), (2, 2). (3, 3), (4, 4)}..

Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1, 4), (2, 4), (3, 4), (4, 5)} Here, one image has three pre-images..

The set of all the first elements of the ordered pairs of a function is called the domai..

If (a, b) is an ordered pair of the function then the set B is called the Co-Domain. The range is a subset of the co-domain. Domain and range have same definitions in relations and function..

Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a functio..

The following are the Types of Functions or Mapping: (1) One-one function (2) Many-one function (3) Onto function (4) Into functio..

The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the function, or "output"..

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There is one-one correspondence between the elements of the set A and the set B..

Every element of the set B has at least one pre-image. In above fig.(i), the function is one-one and onto, while in fig.(ii) the function is many-one and on..