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Math Help - Domain/Range of this e graph

  1. #1
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    Domain/Range of this e graph

    y = e^3x
    Attached is the graph, not sure what domain and range is?
    Thanks in advance
    Attached Thumbnails Attached Thumbnails Domain/Range of this e graph-e.jpg  
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  2. #2
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    Is your function \displaystyle e^{3x} or \displaystyle e^3x? Because it looks like you've graphed the second...
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  3. #3
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    The image that you posted is of the graph e^3x which is a line.

    I suspect you want the graph of e^{3x}.

    Is that correct?
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  4. #4
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    Yeah!
    Let me fix the graph..
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  5. #5
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    Thanks for helping guys.

    Actually I did do the graph wrong, as it is y= e^(3x)

    So domain: x equals R
    range: y > -1
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  6. #6
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    For the range y\geq 0
    y can never be negative right?
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  7. #7
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    Quote Originally Posted by advancedfunctions2010 View Post
    Thanks for helping guys.

    Actually I did do the graph wrong, as it is y= e^(3x)

    So domain: x equals R
    range: y > -1
    I agree with your domain; also it's not 'x equals R', it's x \epsilon \mathbb{R}, meaning x belongs to the set of all real numbers.

    However, is the domain really y>-1? At what point on the graph e^(3x) is y even negative?
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