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Math Help - Odd or even function

  1. #1
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    Odd or even function

    My minds gone blank lol

    f(t) = pi*t - t^2

    thanks
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  2. #2
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    Quote Originally Posted by adam_leeds View Post
    My minds gone blank lol

    f(t) = pi*t - t^2

    thanks
    If the function is even then f(-t) = f(t).


    f(t) = \pi t - t^2

    f(-t) = -\pi t - (-t)^2

     = -\pi t - t^2

     \neq f(t).

    So the function is not even.


    If the function is odd then f(-t) = -f(t)

    f(-t) = -\pi t - t^2

     = -(\pi t + t^2)

     \neq -f(t).

    So the function is not odd.


    This function is neither odd nor even.
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