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Math Help - f(x) for Symmetry

  1. #1
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    f(x) for Symmetry

    Test each of the following for symmetry. Is f(x) even, odd, or neither?

    a) f(x) = x + x + x + 1

    b) f(x) = 2x − 4x
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  2. #2
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    Quote Originally Posted by symmetry View Post
    Test each of the following for symmetry. Is f(x) even, odd, or neither?

    a) f(x) = x + x + x + 1

    b) f(x) = 2x − 4x
    a) f(-x) = (-x)^3 + (-x)^2 + (-x) + 1 = -x^3 + x^2 - x + 1
    This result is neither f(x) nor is it -f(x). So this function is neither even, nor odd.

    b) f(-x) = 2(-x)^3 - 4(-x) = -2x^3 + 4x = -f(x)
    So this function is odd.

    -Dan
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  3. #3
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    ok

    Tell me, what are the rules for this symmetry stuff?
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