Section 3'2 Comparing Exponential and Linear Functions

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Section 3.2Comparing Exponential and Linear
Functions
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• Given the following table
• What type of function would be appropriate for
  modeling this data?
• Hint Compute the average rate of change for the
  intervals or make a scatter plot
• Lets see if we can make a function for this data
• What is the range and domain of our function?

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• The number of asthma sufferers in the world was
  about 84 million in 1990 and 130 million in 2001.
  Let N represent the number of asthma sufferers
  (in millions) worldwide t years after 1990.
• Write N as a linear function of t. What is the
  slope? What does it tell you about asthma
  sufferers?
• Write N as an exponential function of t. What is
  the growth factor? What does it tell you about
  asthma sufferers?
• Graph the two together. What do you notice?

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• Lets compare the growth rate of linear and
  exponential functions
• Plot f(x) 5x 20 and g(x) 3(1.08)x on the
  same graph
• Which is growing faster?
• In your groups do problems 19 and 29