Determine symmetry of given function











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I am browsing the internet, looking for functions to determine its symmetry (because of effect of symmetry on Fourier coefficients) and I have found this function, from khan academy video:



https://imgur.com/7oO5xj2 - unfortunately, I don't have enough reputation to post images.



and I am completely confused if this function is even, odd or neither and if it
has half-wave symmetry or not. What confuses me is, that function representation overlaps with Y-axis and I don't really know where it starts.



May someone help me with this, please?
Thank you very much in advance.










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    up vote
    0
    down vote

    favorite












    I am browsing the internet, looking for functions to determine its symmetry (because of effect of symmetry on Fourier coefficients) and I have found this function, from khan academy video:



    https://imgur.com/7oO5xj2 - unfortunately, I don't have enough reputation to post images.



    and I am completely confused if this function is even, odd or neither and if it
    has half-wave symmetry or not. What confuses me is, that function representation overlaps with Y-axis and I don't really know where it starts.



    May someone help me with this, please?
    Thank you very much in advance.










    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am browsing the internet, looking for functions to determine its symmetry (because of effect of symmetry on Fourier coefficients) and I have found this function, from khan academy video:



      https://imgur.com/7oO5xj2 - unfortunately, I don't have enough reputation to post images.



      and I am completely confused if this function is even, odd or neither and if it
      has half-wave symmetry or not. What confuses me is, that function representation overlaps with Y-axis and I don't really know where it starts.



      May someone help me with this, please?
      Thank you very much in advance.










      share|cite|improve this question













      I am browsing the internet, looking for functions to determine its symmetry (because of effect of symmetry on Fourier coefficients) and I have found this function, from khan academy video:



      https://imgur.com/7oO5xj2 - unfortunately, I don't have enough reputation to post images.



      and I am completely confused if this function is even, odd or neither and if it
      has half-wave symmetry or not. What confuses me is, that function representation overlaps with Y-axis and I don't really know where it starts.



      May someone help me with this, please?
      Thank you very much in advance.







      fourier-series symmetry symmetric-functions






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 12 at 7:06









      Michal

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