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Math Help - Domain and range

  1. #1
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    Domain and range

    Graph the function. Find the domain and range of the function.

    f(x) = -3(3)^{x}

    What is the domain and range of this function?
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  2. #2
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    Quote Originally Posted by mt_lapin View Post
    Graph the function. Find the domain and range of the function.

    f(x) = -3(3)^{x}

    What is the domain and range of this function?
    Domain...

    x=>1 exists ...
    x=<-1 exists asymptotic behavious
    -1<x<1 .. becomes a root ... exists

    So domain = R

    Range... you cant get a positive value as (3)^x > 0 ... note the -3 so reflection in the x....

    So range = (-inf,0) or negative R
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  3. #3
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    The domain is the R and the range is the R_-{0}, since f(x)<0 for every x in R.
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