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Math Help - another curly one tossed at me by my partner

  1. #1
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    another curly one tossed at me by my partner

    Is it possible to conceive of the following in mathematical terms:

    a periodic/cyclic function tending to an ever increasingly straight line, reaching infinitely close, before becoming equivalent to y=x.

    in other words, is it possble to arrive at a straight line by other means than y=x, such that, given specified proportions, numbers, magnitudes, one could create a formula to produce a straight line without recourse to y=x?
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  2. #2
    mfb
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    Re: another curly one tossed at me by my partner

    y=2x | y=0 | x=0 | 5x+3y=7 are all straight lines
    y=sin(x)-(sin(x)-x) is the same as y=x.
    y=1/2((x+1)^2 - x^2 - 1) is the same as y=x

    I have no idea what you are looking for, maybe that helps.
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