functions relations

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..

Summary Relations and Functions - A pair of objects, written in a specified order is called an ordered pair . A pair of objects, written in a specified order is called an ordered pair . For the ordered pair (a,b), a is called the first element and b, the second element. The orde..

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..

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

Determine whether the relation graphed is a function or not. => yes or no..

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

Which of the following function tables represents the relation, 'yards as a function of miles'? => Table 1 or Table 2 or Table 3 or None of the above..