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Math Help - Exponential growth/decay

  1. #1
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    Question Exponential growth/decay

    State and explain whether the function f(x) = 1.5^-x represents exponential growth or decay.

    Any help is appreciated! Thanks.
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  2. #2
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    Quote Originally Posted by live_laugh_luv27 View Post
    State and explain whether the function f(x) = 1.5^-x represents exponential growth or decay.

    Any help is appreciated! Thanks.
    graph it and see for yourself.
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  3. #3
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    I did...has negative behavior, which I would think makes decay...
    ...However, I don't understand, does the negative in the exponent turn it into a fraction -- 1/(1.5^x) ?? And also, negative decay is less than one, and 1.5 is bigger than one...can you help clear this up for me?
    Thanks for your help!
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  4. #4
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    y = 1.5^{-x} is a decay function ... as x \to \infty , y \to 0

    1.5^{-x} = \left(\frac{3}{2}\right)^{-x} = \left(\frac{2}{3}\right)^{x}
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  5. #5
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    ok, thanks.
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