RELATIONS AND FUNCTIONS

A pair of elements grouped together in a particular order is .

If A and B are two non-empty sets, then the set of all ordered pairs (a, b) such that a belongs to A , b belongs to B is called the of A and B

If (a, b) = (x, y), then a = and b = .

If n(A) = p and n(B) = q, then n(A × B) = .

A relation which contains no element is called a “”

The of an element x under a relation R is given by y, where (x, y) ∈ R,

The of R is the set of all first elements of the ordered pairs in a relation R.

The of the relation R is the set of all second elements of the ordered pairs in a relation R.

The of the function is the set of images.

A has the set of real numbers or one of its subsets both as its domain and as its range.

If A and B are non-empty sets and either A or B is an set.

An diagram is a visual representation of a relation.

A relation f from a set A to a set B is said to be a if every element of set A has one and only one image in set B.

A function f :A - B is called function if distinct elements of A have distinct images in B.

A function which has either R or one of its subsets as its range is called a function.

The function f: R→R defined by f(x) = |x| for each x ∈R is called function.

The function f: R → R defined by f(x) = [x], x ∈R assumes the value of the greatest integer, less than or equal to x. Such a function is called the function.

The function f defined by f(x) = mx + c ,x ∊ R, is called function.

The set X is called the of the function f and the set Y is called its co-domain.

If f (a) = b, then b is called ‘’ of a under f and a is called a ‘’ of b.

The set of all images of the elements of X under f is called the ‘’ of f.

RELATIONS AND FUNCTIONS

Gap-fill exercise