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Even or odd

  1. Aug 24, 2014 #1
    I know what it means by by even, or odd, function. i also know what it means graphically.

    My question is how to find a whether a function is even, or odd? if the function is defined in three intervals or more than three intervals.

    Consider a function F(x) defined in the interval (a,d)

    F(x)= [ p(x) where x belong to the interval (a, b);
    q(x) where x belong to the interval (b, c);
    r(x) where x belong to the interval (c, d); ]

    The particular problem I'm faced with is:

    F(x)= [ p(x)=0 where x belong to the interval (-8,0);
    q(x)=4 where x belong to the interval (0,4);
    r(x)=8 where x belong to the interval (4,8); ]
     
    Last edited: Aug 24, 2014
  2. jcsd
  3. Aug 24, 2014 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    You say you "know what it means by even, or odd, function" so just apply that. In particular F(-5)= 0. F(5)= 8.

    That tells you all you need to know.
     
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