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Wednesday, August 16, 2006

August 16, 2006
Lesson 8.1
Exploring Exponential Models

posted by Mrs. S. at 6:55 AM

3 Comments:

  • Heyyyyy(:

    By Blogger Kristina, at 12:05 PM  

  • hello

    By Blogger Mrs. S., at 1:02 PM  

  • Today's lesson was about Exploring Exponential Models. Where y=ab^x.

    Real life objective :: To model exponential growth and decay.
    -Understand how to write and graph an exponential function.

    Most functions are raised to a power, such as y=x^2. There is a *variable base* and an *exponent* that is a constant.

    With exponential functions, the above roles are reversed:: the base is a constant and the exponent varies, as in y=2^x.

    An exponential function is an equation of the form -> Y=ab^x. Where a cannot equal 0, b is greater than 0, && b cannot equal 1.

    An exponential function is a function with general form y=ab^x, where x is a real number, and a cannot equal 0, b is greater than 0, && b cannot equal 1.

    In exponential functions, when b is greater than 1, b is the growth factor, and when 0 is less than b and b is less than 1 is a decay factor.

    Asymptote -- an imaginary line that a graph approaches, but never reaches, as x or y increases in absolute value.

    The x axis (y=0) serves as the asymptote for exponential equations.

    Shortcuts for graphing y=ab^x
    ++ a is always the y - intercept of the graph.

    By Blogger Kristina, at 1:13 PM  

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