2. Consider the function: Now, interchange the x- and y- coordinates in the set of ordered pairs above. This new set of ordered pairs is called the inverse of the function f (x). Denote by f -1 (x). What is the algebraic view of f -1 (x)?

3. Example:

4. Examine these tables.

5. Example 1:

6. Example 2:

8. Is the inverse of a function another function? NO!! Examine the graphs below.

9. Since the function fails the “Horizontal Line Test”, the inverse is not a function. Horizontal Line Test Since the function passes the “Horizontal Line Test”, the inverse is a function.

10. Example 3:

12. Example 4:

14. In Summary

15. Examples 1. 2.2. 3.3. 4.4. 5.5.