functions versus relations

Most experiments in physics require the observations made to be quantitative rather than qualitative. If observations are only descriptive or qualitative, they are likely to be imprecise and could cause disagreements between experimenters. For example, scientists cannot merely say that an object i..

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..

Determine whether the relation is a function. => Yes or No..

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

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..

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

Determine whether the relation is a function. => Yes or No..

Which of the following is the graph of a relation, that has an inverse, which is a function? => Graph B or Graph C or Graph A or None of these..

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..