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Exploring Power Functions

Use this worksheet to explore the power functions
1. Consider f(x) for powers of x where b > 0. a. Describe the characteristics of power functions with even powers. b. Describe the characteristics of power functions with odd powers. 2. Consider f(x) powers of x where b < 0. Describe the characteristics of these functions 3. Describe the characteristics of power functions where b = 1/n and n is an integer.