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Exponential Growth And Decay
Exponential Growth And Decay
Exponential Growth And Decay
Exponential Growth And Decay
Exponential Growth And Decay
Exponential Growth And Decay
Exponential Growth And Decay
Exponential Growth And Decay
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Exponential Growth And Decay

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  • 1. Exponential Growth and Decay
  • 2. An exponential function can either be increasing or decreasing.
    INCREASING – from small to big
    Example: 1, 2, 3, 4, 5, 6, 7, 8, …
    DECREASING – from big to small
    Example: 10, 9, 8, 7, 6, 5, 4, …
  • 3. EXPONENTIAL GROWTH – an increasing exponential function.
    EXPONENTIAL DECAY – a decreasing exponential function.
  • 4. RECALL
    An exponential function is a function of the form
    f(x) = a ∙ bxwhere a is a nonzero constant, b is greater than 0 and not equal to 1 and x is any real number.
    If b > 1, the exponential function is an increasing exponential function.
    If b < 1, the exponential function is a decreasing exponential function.
  • 5. Exponential Growth
    Exponential growth can be modeled with the function
    y = a ∙ bxfor a > 0 and b > 1.
    starting amount (when x = 0)
    y = a ∙ bx
    exponent
    Thebase, which is greaterthan 1,is the growth factor.
  • 6. Exponential Decay
    The function y = a∙bxmodels exponential decay for
    a > 0 and 0 < b < 1.
    starting amount (when x = 0)
    y = a ∙ bx
    exponent
    Thebase, which is between 0 and 1,is the decay factor.
  • 7. Determine whether the following functions model EXPONENTIAL GROWTH or EXPONENTIAL DECAY.
    exponential growth
    exponential decay
    exponential growth
    exponential decay
  • 8. Problem Solving
    In 1990, Bangkok’s population was about 13 million. If the city’s population has grown about 1.7 % each year, what is the population of Bangkok in year 1995?

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