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Math Help - Help finding a bijective function

  1. #1
    Senior Member Danneedshelp's Avatar
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    Help finding a bijective function

    Q) Find a bijective function f : (−1, 1) → R.
    (Here (−1, 1) is the open interval (−1, 1) = {x ∈ R | − 1 < x < 1}.)

    I am struggling with this one. Could I just choose some heaviside step function?
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by Danneedshelp View Post
    Q) Find a bijective function f : (−1, 1) → R.
    (Here (−1, 1) is the open interval (−1, 1) = {x ∈ R | − 1 < x < 1}.)

    I am struggling with this one. Could I just choose some heaviside step function?
    The tangent function will work you will need to change its domain a bit.

    Good luck.
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  3. #3
    Senior Member Danneedshelp's Avatar
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    Thanks, I should not have sworn off trig functions so fast ha.
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