**Functions and Graphs**

## Transformations of Functions

2 hr 0 min 60 Examples

- Overview of Terminology for Graphing Functions
- How to Graph the Line Family with 8 Examples
- How to Graph the Square (Quadratic) Family with 11 Examples
- How to Graph the Cubic Family with 11 Examples
- How to Graph the Absolute Value Family with 10 Examples
- How to Graph the Square Root Family with 13 Examples
- How to Graph the Cube Root Family with 7 Examples

## Piecewise Functions

1 hr 43 min 16 Examples

- How to Evaluate a Piecewise-Defined Function
- How to Graph the Piecewise Function with 4 Examples
- Greatest Integer Function and Step-Functions with 7 Examples
- Overview of Symmetry and Reflecting Rules
- 5 Examples of Determining x-axis, y-axis, or origin symmetry without graphing

## Composite Functions

42 min 20 Examples

- Overview of Arithmetic Operations on Functions with 8 Examples
- Composition of Functions with 12 Examples

## Domain of Composite Functions

57 min 8 Examples

- How to Find the Domain of a Composite Function with 4 Examples
- Inverse Functions and Composite Functions with 4 Examples