Use this worksheet to explore the power functions

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