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Thread: Need help with graphs

  1. #1
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    Need help with graphs

    Sketch the graph y=(x+1)^4/x^4+1. Use this graph to find the set of values of the real number k for which the equation (x+1)^4=k(x^4+1) has two real distinct roots.

    I sketched the graph, but I don't understand what I should do after.

    Thanks for your assistance.
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  2. #2
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    Re: Need help with graphs



    (This equation is equivalent to the one before it, because for all .

    If this equation has two distinct real roots, what could be said about the graphs of



    Spoiler (rollover to view):
    Consider the intersections of the graphs.
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  3. #3
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    Re: Need help with graphs

    Find the values for y=k intersects the graph two times (you can do this visually)

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