## Exploring the Foundations-Relations and Functions in Class 11

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Any well defined collection of objects is called a set. A set can be represented in Roster form or Set Builder form.

The types of sets are

Empty set

Singleton set

Finite Set

Infinite set

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The number of elements in a set is called the cardinal number or order of a set. Two sets A and B are said to be equivalent if they have the same number of elements. If A and B are any two sets, A is a subset of B if every element of A is also in B.

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The set of all subsets of A is called the power set of A, denoted by P(A). Universal set is a set containing all the elements. You'll need to learn about Venn diagrams and union, intersection, complement and symmetric difference between two sets in terms of Venn Diagrams.

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In this context, you have the De Morgan's laws for union and intersection of two sets. Moving on, we come to the Cartesian Product of two sets and the concept of Relation. You'll learn how a function is derived as a particular case of a Relation.

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We move on to Domain, Codomain and Range of a function and the types of functions, namely, one-one, onto, many-one and into functions. You are also introduced to the graphs of a few basic functions such as the modulus function, Greatest Integer function and the Signum function.

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