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.

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?

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

Multiplication: Functions: Division: All real numbers Domain: All real numbers

Output f(x) Output g(f(x)) Function g(x) Input is f(x) Function f(x) Input is x Functions:

Output f(x) Output g(f(x)) Function g(x) Input is f(x) Function f(x) Input is x Functions:

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