2. Functions

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2.01 What is a Function?

2.02 One-to-One, Many-to-One, One-to-Many, Many-to-Many

2.03 Restricting the Domain

2.04 Given the Range, find the Domain

2.05 Introducing the Codomain

2.06 Introducing Even Functions

2.07 Showing a Function is Even algebraically

2.08 Introducing Odd Functions

2.09 Showing a Function is Odd algebraically

2.10 An Example of a Function that is not Even or Odd

2.11 Introducing Periodic Functions

2.12 Building an Even Periodic Function

2.13 Investigating the Order of Graph Transformations

2.14 Order of Transformations Example

2.15 Introducing Composite Functions Part 1

2.16 Introducing Composite Functions Part 2

2.17 Two Extension Problems Involving Composite Functions

2.18 Finding the Domain of a Composite Function

2.19 Inverse Function Notation

2.20 Why we Restrict the Domain

2.21 Inverse Sine - arcsin(x)

2.22 Inverse Cosine - arccos(x)

2.23 Inverse Tangent - arctan(x)

2.24 Sketch y = -arccos(x - 1)

2.25 Finding the Inverse of a Function

2.26 Finding the Domain and Range of an Inverse Function