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Math Help - polynomial question

  1. #1
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    Question polynomial question

    Write an equation to construct a function whose graph is like that of y=x^2, except for pieces removed for values between 2 and 5, and 7 and 8.
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  2. #2
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    Why not just

    f:\{(-\infty, 2)\cup (5, 7) \cup (8, \infty) \to \mathbf{R} | f(x) = x^2\}?
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  3. #3
    Member mfetch22's Avatar
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    Quote Originally Posted by jasonxl View Post
    Write an equation to construct a function whose graph is like that of y=x^2, except for pieces removed for values between 2 and 5, and 7 and 8.
    I beleilve this equation would work, although I'm guessing its too complicated to be the equation the question was expecting to be given as an answer:

    y = (x^2)\frac{\sqrt{(x-3)^2-1}}{\sqrt{(x-3)^2-1}}\frac{\sqrt{(x-7.5)^2-\frac{1}{4}}}{\sqrt{(x-7.5)^2-\frac{1}{4}}}

    Again, I beleive this will produce gap bewteen 3 and 5, and a gap between 7 and 8. I hope this helps somehow
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  4. #4
    Member mfetch22's Avatar
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    Actually, the above equation doesnt quite come out correctly, I beleive it has the gaps in the proper places, but I dont think it returns parabolic looking graph otherwise. Its allot to type into a calculator though, so I could've made syntax errors. I think its a step in the right direction though.

    EDIT:

    I regraphed the above equation, and it looks just like the parabola y=x^2 except for gaps on the intervals

    [3, 5]

    and

    [7, 8]

    I stand by my first equation I posted
    Last edited by mfetch22; June 24th 2010 at 11:17 AM. Reason: I was wrong
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