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Math Help - Graphing problem.

  1. #1
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    Graphing problem.

    I have to graph -4/x-4 and then find the domain, range, and if it is a function or not. I know how to do the ones with 1 as the numerator, but not -4. I have to do this by hand by the way. Any help is greatly appreciated!
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  2. #2
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    This one? y = \frac{-4}{x-4}
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  3. #3
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    Yea like that
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  4. #4
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    first graph the "parent" y = \frac{1}{x-4} ... note that the -4 factor does two transformations to the parent graph.

    1. reflect over the x-axis

    2. vertical stretch by a factor of 4.

    see the graphs below ...
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  5. #5
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    The -4 in the numerator, '-' is a reflection in the x-axis with a dilation factor of 4.

    To find the domain and range you need to determine the asymptotes.

    This is where the relation is not defined. Do you know how to find that?

    Hint: The denominator cannot be zero.
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  6. #6
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    Ok thanks so much guys..
    I got
    D: x can't equal 4
    R: y can't equal 0
    Function

    Is that right?
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  7. #7
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    Quote Originally Posted by njnest214 View Post
    D: x can't equal 4
    R: y can't equal 0
    Yep

    Quote Originally Posted by njnest214 View Post
    O
    Function

    Is that right?
    Why? How did you conclude this?
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  8. #8
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    Why? How did you conclude this?
    Vertical Line Test?
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