functions

Summary

Real-valued function, codomain is the set of real numbers

Surjective -> each has at least one
Injective -> each has at most one
Bijective -> one-to-one correspondence, each has exactly one

Domain and range of common functions

Concept

Domain, codomain and range

Inverse functions

Composite functions

Mapping

Application

Domain and range

Domain of common functions

Determinining range with inverse functions

Proving that if exists, must be bijective