1. Power Functions with Modeling 2013 – 2014 Pre-AP Pre-Calculus Chapter 2, Section 2

2. Definition: power function

3. Common Formulas NameFormulaPowerConstant of Variation Circumference1 Area of a Circle2 Force of Gravity-2k Boyle’s Lawk Power functions with positive powers represent direct variation. Power functions with negative powers represent inverse variation.

4. Ch. 1.3 introduced 5 basic power functions….

5. Power: _____ Constant of Variation _____ Domain: ______ Range: ______ Continuity: ______________ Increasing/decreasing: ____________________ Symmetry: _________ Local Extrema: ___________ End Behavior:

7. Power: _____ Constant of Variation _____ Domain: ______ Range: ______ Continuity: ______________ Increasing/decreasing: ____________________ Symmetry: _________ Local Extrema: ___________ End Behavior: _____________ (sketch the graph)

9. Monomial Functions

10. Compare Graphs Graph the functions in the given window and explain how they are alike and how they are different.

11. Information about Graphing Power Functions

15. Use the data in the table to obtain a power function model for orbital period as a function of average distance from the Sun. Then use the model to predict the orbital period for Neptune, which is 4497 Gm from the Sun on average. PlanetAverage Distance from Sun (Gm) Period of Orbit (days) Mercury57.988 Venus108.2225 Earth149.6365.2 Mars227.9687 Jupiter778.34332 Saturn142710,760

17. Something easy….

18. Ch. 2.2 Homework Page 196 - 199: #’s 8, 13, 14, 17, 18, 27, 32, 51, 59, 62, 63 (total 11 problems) Gray book: pages 182 - 183