relations and functions

Relations and Functions - In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m i..

A relation R is a non-empty sub-set of a cartesian product. A relation is a set of ordered pairs, i.e., R A x B where A and B are two non-empty sets. Domain of a relation is the set of all first components. Range of a relation is th..

A relation becomes a function only if _______. => for two inputs there is exactly one output or for every input, there are fixed number of outputs or for every input there are two outputs or for every input there is exactly one output..

Theorem 1..

Determine whether the relation is a function or not. => It is a function. or It is not a function. or It is a function with same domain and range. or cannot be determined..

When a relation becomes a function ? => For every input, there are fixed number of outputs or For every input, there are two outputs or For two inputs, there is exactly one output or For every input, there is exactly one output..

Determine whether the relation is a function. Give the domain and range of it, if it is a function. => It is a function; domain is 2 and range is 11 or It is a function; domain is 11, 13, 17, 19 and range is 2, 3, 5, 7 or It is not a function..

Determine whether the relation is a function. Find its domain and range, if it is a function. => It is a function; domain is 3, 5, 7, 9, 11 and range is 1, 2, 3, 4. or It is a function; domain is 0 and range is 3. or It is a function; doma..

Which of the following relations is not a function? => Relation 3 or Relation 2 or Relation 4 or Relation 1..

Which of the following relations represents a function? => Relation 1 or Relation 2 or Relation 3 or All the Relations..