Relations and Functions

Ordered pairs, Cartesian product of sets.Number of elements in the cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotient of functions.

01 Relation function concept

02 Cartesian Product of sets Concepts

03 Cartesian Product of sets

04 relation in terms of cartesina Product

05 Function in terms of relation

06 Graphs of functions

07 Algebra of functions and examples