How to Solve Problems Involving Exponential Functions (UMAP)

This unit shows how to find the formula for an exponential function given a point on its graph and the slope at that point; or given two points on its graph. It also gives instructions to find the exponential function to solve a word problem whose data are either in point-slope form or two-point form.

Table of Contents:

1. INTRODUCTION
1.1 Challenge Problem

2. HOW TO SOLVE FOR y GIVEN A POINT AND SLOPE AT THAT POINT

3. HOW TO SOLVE FOR y GIVEN TWO POINTS ON THE GRAPH
3.1 A Typical Problem and Its Solution
3.1.1 How to solve for k
3.1.2 How to solve for A0 given k

4. WORD PROBLEMS

5. REFERENCES

6. ANSWERS TO EXERCISES

7. MODEL EXAM

8. ANSWERS TO MODEL EXAM