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Math Help - Graph transformation problem

  1. #1
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    Graph transformation problem

    Graph: (3x + |x|) / x

    I don't know how to go about graphing this other than making a table of input and output values. The answer key shows two horizontal lines at y = 2 and y = 4, however, with no values at the actual y axis.
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  2. #2
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    Re: Graph transformation problem

    Consider separately x >= 0 and x < 0 and replace |x| by its definition.
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  3. #3
    MHF Contributor ebaines's Avatar
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    Re: Graph transformation problem

    You can rewrite the equation like this:

     y = \frac {3x+ |x| } x = 3 +\frac {|x|} x

    The value of  \frac {|x|} x is +1 for positive x, -1 for negative x, and undefined for x=0 (since the quanitity 0/0 is undefined). So the function becomes: y = 4 for x positive; undefined for x=0; 2 for x negative
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