Objectives

$\newcommand{\arraycolsep}[3]{} \newcommand{\dd}[2][]{\frac{d #1}{d #2}} \newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}} \newcommand{\veci}{\vec{\hat{\bf\imath}}} \newcommand{\vecj}{\vec{\hat{\bf\jmath}}} \newcommand{\utan}{\vec{\hat{t}}} \newcommand{\unormal}{\vec{\hat{n}}} \newenvironment{amatrix}[1]{% \begin{bmatrix} }{% \end{bmatrix} }$

$\newenvironment {prompt}{}{} \newcommand {\ungraded }[0]{} \newcommand {\HyperFirstAtBeginDocument }[0]{\AtBeginDocument }$

List of objectives for Module 10M - Modeling with Power Functions.

In the last Module, we focused on modeling with linear functions. These models had a constant rate of change, which is how we identified the need for a linear model. In this Module, we’ll focus on models that have a varying rate of change. We will use polynomials, radical, and rational functions to model these relationships. These are all known as Power Functions as they describe a function using powers of $x$ .

The objectives for this Module are:

(a): Identify when two quantities are varying directly with each other.
(b): Identify when two quantities are varying indirectly with each other.
(c): Construct a model equation for the real-life situation.