Even or odd

  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. HallsofIvy

    HallsofIvy 40,792
    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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