Lesson 3.1 Exponential Functions and Their Graphs...Pre Calulus Lesson 3.1.notebook 1 September 23,...
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PreCalulus Lesson 3.1.notebook 1 September 23, 2011 Lesson 3.1 Exponential Functions and Their Graphs Thursday, September 22, 2011 Goals: Recognize and evaluate exponential functions with base a. Graph exponential function with base a Recognize, evaluate, and graph exponential functions with base e Use exponential functions to model and solve reallife problems. Instructional DVD's: Exponential Functions and Their Graphs 37:53 DVD 2
Transcript of Lesson 3.1 Exponential Functions and Their Graphs...Pre Calulus Lesson 3.1.notebook 1 September 23,...
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Lesson 3.1Exponential Functions and Their Graphs
Thursday, September 22, 2011
Goals: Recognize and evaluate exponential functions with base a. Graph exponential function with base a Recognize, evaluate, and graph exponential functions with base e Use exponential functions to model and solve reallife problems. Instructional DVD's: Exponential Functions and Their Graphs 37:53 DVD 2
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Definition of Exponential Function
The exponential function f with base a is denoted by
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Library of Parent Functions: Exponential Function
Growth
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Library of Parent Functions: Exponential Function
Decay
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Example 1
Evaluating Exponential Functions
Use a calculator to evauate each function at the indicated value of x.
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Example 2
In the same coordinate plane, sketch the graph of each function by hand.
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In the same coordinate plane, sketch the graph of each function by hand.
Example 3
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Example 4
Transformation of Graphs of Exponential Functions
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Example 5Approximation of the Number e
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Example 6Evaluating the Natural Exponential Function
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Example 7
Graphing the Natural Exponential FunctionsSketch the graph of each natural exponential function.
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Example 8Finding the Balance for Compound Interest
A total of $9,000 is invested at an annual interest rate of 2.5%, compounded annually. Find the balance in the account after 5 years.
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Example 9Finding Compound Interest
A total of $12,000 is invested at an interest rate of 3% . Find the balance after 4 years if the interest is compounded (a) quarterly and (b) continuously.
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Example 10Radioactive Decay
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Example 11 Population Growth
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Date:
Classwork: Computer:
Homework:
Lesson 31Page 193195Problems 3, 4, 10, 11, 17, 22, 23, 26, 27, 30, 36, 66, 67, 70
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