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Thread: Help reading functions with denominator

  1. #1
    Jun 2012

    Help reading functions with denominator

    I've been having issues seeing functions that have denominators. I have few issues understanding most regular functions and how they are manipulated but in my effort to return to school I have missed out on understanding functions when combined with a denominator.

    For example: $\displaystyle f(x)=\frac{|x-1|}{2-2x}$

    Is there any method to seeing that the lines are at +1/2 and -1/2? Is there a good website that can teach me methods of visualizing various fraction functions?
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  2. #2
    Senior Member
    Jan 2008

    Re: Help reading functions with denominator

    $\displaystyle f(x)=\frac{|x-1|}{2-2x}$

    Maybe rewrite it as $\displaystyle f(x)=\frac{|1-x|}{2(1-x)}$ then it's easier to see that f(x)=1/2 when 1-x>0 and f(x)=-1/2 when 1-x<0.

    I'd also recommend f&#40;x&#41;&#61;|1-x|&#47;&#40;2&#40;1-x&#41;&#41; - Wolfram|Alpha and you could download a graph plotter to play with.
    Thanks from Maskawisewin
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