Recognition of Problems Solved by Exponential Functions (UMAP)

This unit introduces the equation y'=ky to describe proportionate rates of change. It studies properties characteristic of the graphs of exponential functions, and describes features shared by word problems whose solutions involve exponential functions.

Table of Contents:

1. INTRODUCTION

2. THE EQUATION y' = ky

3. GRAPHICAL PROBLEMS
3.1 Geometric Meaning of y' = ky
3.2 Example of a Graph that Satisfies y' = ky
3.3 Graphical Exercises

4. WORD PROBLEMS
4.1 Some Key Phrases
4.2 Examples of Word Problems that Involve y' = ky
4.3 Another Word Problem
4.4 Exercises

5. ANSWERS TO EXERCISES

6. MODEL EXAM

7. ANSWERS TO MODEL EXAM