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Math Help - Test Function for Symmetry

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    Test Function for Symmetry

    Test this function for symmetry:

    f(x) = x^4 + x^ + 3
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    Quote Originally Posted by symmetry View Post
    Test this function for symmetry:

    f(x) = x^4 + x^ + 3
    The function has symmetty in the y-axis.
    Because,
    f(-x)=(-x)^4+(-x)^2+3=x^4+x^2+3=f(x)
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    ok

    So, basically we change x to -x, plug and chug?
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    Quote Originally Posted by symmetry View Post
    So, basically we change x to -x, plug and chug?
    Yup.
    A function is called "even" if f(-x) = f(x). It is called "odd" if f(-x) = -f(x). Note that a function may be neither even nor odd.

    -Dan
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  5. #5
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    Quote Originally Posted by symmetry View Post
    So, basically we change x to -x, plug and chug?
    No we think about what odd or even symmetry mean, then see if the
    sample function has the property required.

    Plug and chug implies just following rules. But that means you have to
    remember a rule for each situation, which is a waste of valuable memory.

    RonL
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