For some real-valued functions, the graph has a center of symmetry. For example, for cubic polynomials, this is the inflection point.

We call a function super symmetric, when it is defined for all real numbers and its graph has more than one center of symmetry. Sine and Cosine are examples.

Show that every super symmetric function is the sum of a linear function and a periodic function.

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Posted by 8 pool ball on 2020-04-07 23:44:57