Even functions satisfy f(x)=f(-x) and have y-axis symmetry. Odd functions satisfy f(x)=-f(-x) and have origin symmetry. Functions with even x^n are even, odd x^n are odd. Zero is the only function that is both even and odd
Even function is defined as f(-x) = f(x) for all real x. Even function's graph remains unchanged under y-axis reflection. Graph is symmetric about y-axis
Even functions have f(x) = f(x) for all x in domain. Odd functions have f(x) = f(x) or f(x) = f(x) for all x. Even functions are symmetric about y-axis. Odd functions are symmetric about origin
Even functions have f(-x) = f(x). Odd functions have f(-x) = -f(x). Neither even nor odd functions don't satisfy either rule
Functions can be even, odd, both even and odd, or neither. Even functions have f(-x) = f(x) for all x. Odd functions have f(-x) = -f(x) for all x. Zero function is the only function that is both even and odd
Functions can be classified as even, odd, or neither based on symmetry. Opposite of a variable in function is written as negative. Simplify function by replacing variables with their opposites. Even functions have same terms as original function. Odd functions have opposite terms as original function