# Chapter One

# FUNCTIONS AND CHANGE

Contents

Function Notation and Intercepts

Increasing and Decreasing Functions

1.3 Average Rate of Change and Relative Change

Ratio of Relative Changes: Elasticity

1.4 Applications of Functions to Economics

Cost, Revenue, and Profit Functions

Marginal Cost, Revenue, and Profit

Elimination of a Drug from the Body

The General Exponential Function

Solving Equations Using Logarithms

Exponential Functions with Base *e*

1.7 Exponential Growth and Decay

Financial Applications: Compound Interest

1.9 Proportionality and Power Functions

Quadratic Functions and Polynomials

PROJECTS: Compound Interest, Population Center of the US, Medical Case Study: Anaphylaxis

## 1.1 WHAT IS A FUNCTION?

In mathematics, a *function* is used to represent the dependence of one quantity upon another.

Let's look at an example. Syracuse, New York has the ...

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