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Thread: Proof Question 1

  1. March 29th 2009, 05:39 AM #1
    wvlilgurl
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    Proof Question 1

    Define the function f : R -> R by
    g(x) = x2 if x is rational
    - x2 if x is irrational

    At what point is the function conitunous.
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  2. March 29th 2009, 06:47 AM #2
    stapel
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    Quote Originally Posted by wvlilgurl View Post
    Define the function f : R -> R by
    g(x) = x2 if x is rational
    - x2 if x is irrational

    At what point is the function conitunous.
    Hint: Consider the graphs of f(x) = x^2 and h(x) = -x^2. Where do they "meet"?
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« Proof Question 2 | Choice of trace for irreducible polynomial »

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