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Math Help - help graphing 3 functions

  1. #1
    Junior Member
    Joined
    Feb 2008
    Posts
    49

    help graphing 3 functions

    Graph these functions.

    f(x)=3^{x}

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

    f(x)=20\left(\frac{1}{4}\right)^{x}


    I know graphs don't have to be perfect. But how would these look....if there was a table for each function with x values of -3, -2,-1, 0, 1, 2, 3 ?

    The tables, respectively, would be:

    x/ f(x)
    -3/ (1/27)
    -2/ (1/9)
    -1/ (1/3)
    0/ 1
    1/ 3
    2/ 9
    3/ 27

    x/ f(x)
    -3/ (-1/9)
    -2/ (-1/3)
    -1/ -1
    0/ -3
    1/ -9
    2/ -27
    3/ -81


    x/ f(x)
    -3/ 1280
    -2/ 320
    -1/ 80
    0/ 20
    1/ 5
    2/ (5/4)
    3/ (5/16)
    Last edited by mt_lapin; February 27th 2008 at 04:11 AM.
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  2. #2
    MHF Contributor kalagota's Avatar
    Joined
    Oct 2007
    From
    Taguig City, Philippines
    Posts
    1,026
    do you know the graph of e^x?
    if does, then the graph of a^x for a>1 looks like the graph of e^x.. (see graph1)
    if you multiply a negative number from that a^x for a>1, the graph is reflected about the x-axis.. (see graph2)

    however, the graph of a^x for 0<a<1 is a reflection about the y-axis.. (see graph3 and graph4)
    Attached Thumbnails Attached Thumbnails help graphing 3 functions-graph1.jpg   help graphing 3 functions-graph2.jpg   help graphing 3 functions-graph3.jpg   help graphing 3 functions-graph4.jpg  
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