function as sum of a linear function and a periodic function
Source: Turkey TST 2002 - P4
April 6, 2013
functionsymmetryalgebra proposedalgebra
Problem Statement
If a function defined on all real numbers has at least two centers of symmetry, show that this function can be written as sum of a linear function and a periodic function.[For every real number , if there is a real number such that , the point is called a center of symmetry of the function .]