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Math Help - odd or even function

  1. #1
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    odd or even function

    how do i show f(x)=x^2 is even
    Last edited by nothingness22; October 19th 2008 at 12:46 PM.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by nothingness22 View Post
    how do i show f(x)=x^2 is even
    f(x) is even if f(x)=f(-x) for every x in the domain of f.
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  3. #3
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    Even functions are always symmetric to the y axis.
    Odd functions are always symmetric to x axis.

    So, f(x) = x^2 would be even, because it is symmetric to the y axis. (see pic)
    Additionally, the 2 in x^2 is even, which is a big hint right away.
    Attached Thumbnails Attached Thumbnails odd or even function-graph.bmp  
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  4. #4
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    Quote Originally Posted by nothingness22 View Post
    how do i show f(x)=x^2 is even
    A great way is to simply make a table of values.

    X Y
    -4 16
    -3 9
    -2 4
    -1 1
    0 0
    1 1
    2 4
    3 9
    4 16
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