Functions

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