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

Definition: power function

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.

Ch. 1.3 introduced 5 basic power functions….

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

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

Monomial Functions

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

Information about Graphing Power Functions

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) Mercury Venus Earth Mars Jupiter Saturn142710,760

Something easy….

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