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Math Help - How in the heck do I graph this?!

  1. #1
    Member MathBlaster47's Avatar
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    How in the heck do I graph this?!

    I have no clue how to graph this in a workable fashion.

    y=3^x.

    I do know how to graph other equations,(1) put the question into standard form if it isn't already, (2)replace the x or y variable(usually the x gets replaced), (3)work the equation to get y, (4)graph the point, (5)repeat steps 2-4 3 to 6 times, (6) connect the dots.

    My problem is that the graph I am working with is fairly small, so the answers are either to high to graph or are decimals meaning that any attempt at accuracy is difficult.

    Thank you!
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  2. #2
    MHF Contributor
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    Hi Mathblaster47,

    You can compress the y axis,
    or use log-linear graph paper.
    Attached Thumbnails Attached Thumbnails How in the heck do I graph this?!-y-3-x.jpg   How in the heck do I graph this?!-y-3-x-v-log-lin.jpg  
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  3. #3
    Member MathBlaster47's Avatar
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    Quote Originally Posted by Archie Meade View Post
    Hi Mathblaster47,

    You can compress the y axis,
    or use log-linear graph paper.
    Thanks for your help!
    Just one question though:
    Just note the adjusted scale to compress the y axis,right?

    I don't think I can use log-linear graph as I am required to give a (x,y) graph as my answer.
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  4. #4
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    Yes, in that case just make the difference between units smaller on the y-axis.
    This will allow you to draw a graph that looks similar to the .jpg file.
    Decide on the highest value of x you want to use, say x=5.

    Then since x=5, 3^x=3^5=243

    so scale the y-axis from 0 to 300, using 1 y unit = 100
    or something similar.
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  5. #5
    Member MathBlaster47's Avatar
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    Many gracious thanks Archie!

    Could I ask a side question?

    What is the best method to manually graph an ellipse?
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  6. #6
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    Hi Mathblaster47,

    maybe the draughtsman's method at the following link would be most practical.

    Constructing Ellipses
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