6-6 Alg2-Function Operations.pptnsjjsjdhdhx

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1. Function Operations & Radical Function Unit Test Date: Wednesday, February 4th Unit Objectives: Perform function operations: add, subtract, multiply & compose Find the inverse of a function: algebraically & graphically Identify function attributes: domain and range Graph radical functions Today’s Objective: I can perform operations with functions.

2. You want to buy a sofa that has already been marked down by $100. The furniture store may add the 5% sales tax before applying the additional discount, or it may add the sales tax after applying the additional discount. Which way is better for you, the customer? How much better? x = cost of sofa Tax Before Discount: Tax After Discount: Tax after the discount; save $2.50  

3. Domain : All real numbers All real numbers Function Operations: + and − Addition:   Functions:           Subtraction:         All real numbers All real numbers         Domain: from both functions    

4. Function Operations: × and   Multiplication:   Functions:         Division:       All real numbers All real numbers       except:   Domain : All real numbers All real numbers      

5. Composite Function:   Output f ( x) Output g(f ( x)) Function g(x) Input is f(x)       Function f(x) Input is x Functions:                                    

6. Composite Function:   Output f ( x) Output g(f ( x)) Function g(x) Input is f(x)       Function f(x) Input is x Functions:                          

7. Perform each operation                     Pg. 401 #9-75 by 3s