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Thread: Range of a function?

  1. #1
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    Range of a function?

    State the range of the function:
    f(x) = 3^(x+9) + 4

    I believe that the answer is:
    (-1, infinity)

    Am I correct?

    Any help is appreciated.
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  2. #2
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by iluvmathbutitshard View Post
    State the range of the function:
    f(x) = 3^(x+9) + 4

    I believe that the answer is:
    (-1, infinity)

    Am I correct?

    Any help is appreciated.
    No the range would be $\displaystyle (4, \infty)$
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  3. #3
    Super Member bigwave's Avatar
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    by adding 4 you shift the graph up 4 units
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  4. #4
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    Quote Originally Posted by 11rdc11 View Post
    No the range would be $\displaystyle (4, \infty)$
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  5. #5
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    hi
    i think for every real $\displaystyle x$ your function is strictly positive,
    $\displaystyle \forall x\in \mathbb{R},f(x)> 0$.
    therefore the range is $\displaystyle (0,+\inf)$.
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