Are all functions either even functions or odd functions? Explain In two short sentences.

Answer 1

No, not all functions are either even or odd. A function is even if \( f(x) = f(-x) \) for all \( x \), odd if \( f(x) = -f(-x) \), but many functions do not satisfy either condition, such as linear functions that do not pass through the origin or constant functions that are not zero.