nchanged after ප්‍රතිබිම්බය about the y-axis.ඉරට්ටෙ ශ්‍රිත සඳහා උදාහරණ ලෙස |x|, x2, x4, cos(x), and cosh(x).ඔත්තේ ශ්‍රිත[සංස්කරණය]Again, let f(x) be a තාත්වික-valued function of a real variable. Then f is odd if the following equation holds for all x in the domain of f:−f(x)=f(−x),{\displaystyle -f(x)=f(-x)\,,}orf(x)+f(−x)=0.{\displaystyle f(x)+f(-x)=0\,.}Geometrically, the graph of an odd function has rotational symmetry with respect to the origin, meaning that its graph remains unchanged after rotation of 180 degrees about the origin.Examples of odd functions are x, x3, sin(x), sinh(x), and erf(x).සමහර තොරතුරු[සංස්කරණය]Note: A function's being odd or even does not imply differentiability, or even continuity. For example, the Dirichlet function is even, but is nowhere continuous. Properties involving Fourier series, Taylor series, derivatives and so on may only be used when they can be assumed to exist.මූලික ගුණ[සංස්කරණය]The 