1. Algebra II 7-4 Notes

2. Inverses  In section 2-1 we learned that a relation is a mapping of input values onto output values. An _______ __________ maps the output values back to their original input values: Original RelationInverse Relation X-2012 y531 -3 X y

3. Find an equation for the inverse of the relation:  a. Y = -3x + 2  b. Y = 27x 3

4. Inverse Functions  Functions f and g are inverses of each other provided:  The function g is denoted as:

5. Verifying inverse functions  Verify that f(x) = 2x – 4 and f -1 (x)= 1/2x + 2 are inverses:

6. Verifying inverse functions:

7. Graphs of inverse relations  The graph of am inverse relation is the reflection of the original graph about the line:

8. Find the inverse of the Graph: Original Function Inverse Function

9. On your own:

10. Homework:  Section 7-4: # 14 – 34 even