2. Warm-Up Multiply the following: 1) 2) 3)

3. Math II UNIT QUESTION: What methods can be used to find the inverse of a function? Standard: MM2A2, MM2A5 Today’s Question: How do you perform operations with functions? Standard: MM2A5.d

4. 4.2 Operations with Functions

5. Objective  To define the sum, difference, product, and quotient of functions.

6. Basic function operations  Sum  Difference  Product  Quotient

7. Function, domain, & range  The domain of a function is the set of all “first coordinates” of the ordered pairs of a relation.  The range of a function is the set of all “second coordinates” of the ordered pairs of a relation.  A relation is a function if all values of the domain are unique (they do not repeat).  A test to see if a relation is a function is the vertical line test.  If it is possible to draw a vertical line and cross the graph of a relation in more than one point, the relation is not a function.

8. Example 1  Find each function and state its domain:  f + g  f – g  f ·g  f / g

9. Example 2  Find each function and state its domain:  f ·g  f / g

10. Your Turn  Find each function and state its domain:  f + g  f – g  f ·g  f / g

11. Class work Workbook Page 123 #1-12

12. Homework Worksheet: 7.3A #2-16 even And 7.3B #2, 4, 8, 12