@top_maths_5m: An even function satisfies f(-x) = f(x). Its graph is symmetric with respect to the y-axis. Examples: cos(x), x², x⁴… An odd function satisfies f(-x) = -f(x). Its graph is symmetric about the origin. Examples: sin(x), x, x³… 🔄 Any function can be written as: f(x) = f_even(x) + f_odd(x) where: • f_even(x) = (f(x) + f(-x)) / 2 • f_odd(x) = (f(x) - f(-x)) / 2 This decomposition helps simplify problems using symmetry, especially in analysis (e.g. Fourier series). #math #animation #beauty #function #fyp #odd #even #foryoupage❤️❤️