Functions

Formulas are organized based on their importance in the CAT exam.
1 Transitive Relation
2 Function Definition
3 Conditional Statement and Contrapositive
4 Cartesian Product
5 Set Operations
6 Universal Set and Complement
7 Union and Intersection
8 Cardinality of Set Operations
9 Relation
10 Partial Order Relation
11 Symmetric Relation
12 Reflexive Relation
13 Reflexive Relation
14 Equivalence Relation
15 Inverse of Composite Functions
16 Identity Relation
17 Transitive Relation
18 Empty Relation
19 Universal Relation
20 One-One Function
21 Identity Function
22 Onto Function
23 Equivalence Relation
24 Surjective Function
25 Equality of Functions
26 De Morgan's Laws
27 Number of Relations
28 Into Function
29 Function
30 Bijective Function
31 Power Set
32 Equivalence Class
33 Number of Relations
34 Types of Sets
35 Power Set
36 Cartesian Product
37 Relation Definition
38 Number of Functions
39 Domain of Function Operations
40 Inverse Function
41 Symmetric Difference
42 Many-One Function
43 Invertible Function
44 Composition of Functions
45 Composite Function
46 Set and Representation of a Set
47 Difference of Sets
48 Symmetric Relation
49 Cardinality of a Set
50 Subset and Proper Subset
51 Domain, Codomain and Range
52 Laws of Set Algebra
53 Anti-Symmetric Relation
54 Bijective Function
55 Interval Representation
56 Injective Function