all relations are functions

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..

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 is less than number n . In ..

from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an equivalence..

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..

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..