1. Function - 2 Meeting 3

2. Definition of Composition of Functions

3. Arrow Diagram of Composition Functions

4. Examples

5. Definition of One-to-One Function

6. Examples

7. Definition of Inverse of a Function

10. Example

13. Exercise

14. Transformation of Functions Shifting Reflecting Stretching

15. Vertical Shifting Adding a constant to a function shifts its graph vertically; upward if the constant is positive and downward if it is negative.

17. Horizontal Shifting The graph of y = f(x - c) is just the graph of y = f(x) shifted to the right c units. Similarly, the graph of y = f(x + c) is just the graph of y = f(x) shifted to the left c units.

18. Example

19. Exercise

20. Reflecting Graphs

21. Example

22. Vertical Stretching and Shrinking

23. Example

24. Combining Shifting, Stretching, and Reflecting

25. Horizontal Stretching and Shrinking

26. Exercise