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Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 3a <strong>–</strong> Introduction to Exponential Functions<br />

Exponential Functions play a major role in our lives. Many of the challenges we face involve<br />

exponential change and can be modeled by an Exponential Function. Financial considerations<br />

are the most obvious, such as the growth of our retirement savings, how much interest we are<br />

paying on our home loan or the effects of inflation.<br />

In this lesson, we begin our investigation of Exponential Functions by comparing them to Linear<br />

Functions, examining how they are constructed and how they behave. We then learn methods<br />

for solving exponential functions given the input and given the output.<br />

Lesson Objectives:<br />

1. State the important characteristics of LINEAR FUNCTIONS<br />

2. Compare LINEAR GROWTH to EXPONENTIAL GROWTH using graphs, data, or<br />

equations<br />

3. Write LINEAR and EXPONENTIAL equations/functions from data tables<br />

4. Use COMMON RATIO to identify exponential data<br />

5. Identify EXPONENTIAL FUNCTIONS and state their important characteristics<br />

6. Use EXPONENTIAL FUNCTIONS to find INPUT given OUTPUT or find<br />

OUTPUT given INPUT<br />

7. Graph EXPONENTIAL FUNCTIONS in an appropriate window<br />

Scottsdale Community College Page 95 <strong>Intermediate</strong> <strong>Algebra</strong>

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