Testing for Symmetry...4

Discussion in 'Algebra' started by nycmathguy, Jun 9, 2022.

  1. nycmathguy

    nycmathguy

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    Question 38

    Let y = -y

    -y = 1/(x^2 + 1)

    y = -1/(x^2 + 1)

    Not symmetric with respect to the x-axis.

    Let x = -x

    y = 1/[(-x)^2 + 1)]

    y = 1/(x^2 + 1)

    Symmetric with respect to the y-axis.

    Let y = -y and x = -x

    -y = 1/[(-x)^2 + 1)]

    -y = 1/(x^2 + 1)

    y = -1/(x^2 + 1)

    Not symmetric with respect to the origin.
     
    nycmathguy, Jun 9, 2022
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  2. nycmathguy

    MathLover1

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    correct

    [​IMG]
     
    MathLover1, Jun 9, 2022
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    nycmathguy likes this.

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  3. nycmathguy

    nycmathguy

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    Back to Calculus tomorrow through Sunday. No math tonight.

    Two reasons:

    1. I am very tired.

    2. Need a mental break.
     
    nycmathguy, Jun 10, 2022
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