Exponential

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Exponential Logistic Functions

• Today you will examine exponential functions and
  identify and graph exponential and logistic
  functions.

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What Youll Learn About

• Exponential Functions and Their Graphs
• The Natural Base e
• Logistic Functions and Their Graphs
• Population Models
• Why?
• Exponential and Logistic functions model many
  growth patterns, including the growth of human
  and animal populations.

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What are Exponential Functions?
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Identifying Exponential Functions

• Which of the following are exponential functions?
  For those that are exponential functions, state
  the initial value and the base. For those that
  are not, explain why not.

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Finding an Exponential Function from its Table of
Values
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Determine a formula for the exponential function
whose values are given.
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Determine a formula for the exponential function
whose graph is given.
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Summary of Exponential Functions
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Transforming Exponential Functions
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Transformation of
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Transforming Exponential Functions
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Transformation of
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Transforming Exponential Functions
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Transformation of
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The Exponential Function
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Transforming Exponential Functions
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Transforming Exponential Functions
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Recap

• How do you tell if a function is exponential?
• How do you determine a formula for an exponential
  function given a table of values? The graph?
• Describe some characteristics of the graph of an
  exponential function.
• How do you determine transformations of
  exponential functions?

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Assignment

• A 4.10 Sect I
• pgs. 286 287
• 1-6, 11, 13, 19, 23, 39, 40, and 53.