1. Class Opener:

2. Identifying a Composite Function:

4. Identifying a Composition of Two Functions:

5. ORQ Practice: Bacteria Count:

6. Inverse Functions:

7. Finding the Inverse Function Informally

9. Verifying the Inverse Function Algebraically

11. One – to – One Functions A function is one to one if, for a and b in its domain, f(a) = f(b) implies that a = b. A function f has an inverse function if and only if f is one to one.

12. Testing for one to one functions

13. Testing one to one functions

14. Horizontal Line Test Use the horizontal line test on a graph of a function to see if it is one to one. If it is a function the horizontal line will only hit the function one time.