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Math Help - Functions question

  1. #1
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    Functions question

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  2. #2
    Senior Member pankaj's Avatar
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    (D) should be the obvious answer
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  3. #3
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    can u tell me what does the "symbol" in part "C" mean? I knew that D was the answer but didnt know what PART 3 meant.

    thanks
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  4. #4
    Senior Member bkarpuz's Avatar
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    Exclamation

    Quote Originally Posted by champrock View Post
    can u tell me what does the "symbol" in part "C" mean? I knew that D was the answer but didnt know what PART 3 meant.

    thanks
    hi,

    see here: Fixed Point Theorem -- from Wolfram MathWorld
    C means that there always exists a point x_{0}\in[0,1]such that f(x_{0})=x_{0} or in other words =f(x) intersects y=x at least once (try to sketch a graph).
    the answer is D, let f(x)\equiv1/2.
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  5. #5
    Senior Member pankaj's Avatar
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    I think the symbol stands for "there exists"
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