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
Chapter Test
1 hr 26 min 25 Examples
- Examples #1-3: Tell whether each graph is a function. Give the domain and range and intervals for where it is increasing, decreasing or constant
- Examples #4-6: Graph each Function and determine domain and range
- Examples #7-9: Graph each Function and determine domain and range
- Examples #10-11: Graph the Piecewise Function and determine domain and range
- Examples #12-14: Determine X-axis, Y-axis, or Origin Symmetry
- Examples #15-17: Find each of the following and simplify
- Examples #18-20: Find each of the following and simplify
- Examples #21-23: Find the Domain and Range of the Composite Function
- Examples #24-25: Determine if each pair of functions are Inverses of each other
