Functions

Definition

More Terminology

More Examples

More Terminology

Functions

Real-Valued Functions

Real-Valued Functions

Equality of Functions

Examples

Inverses and Compositions

Composition of Functions

Composition of Functions

Restrictions

Surjections

Examples

Proving a Function is Onto

Proving a Function is Not Onto

Surjections

Theorem 4.8

Injections

Examples

Composition

Inverses

Caveat

Bijections

Example

Example

Bijections

Inverses and Composition