How to judge whether a function is symmetrical about the origin (except drawing images)

How to judge whether a function is symmetrical about the origin (except drawing images)

If f (- x) = f (x), then f (x) is an odd function. If f (- x) = f (x), then f (x) is an even function. If f (- x) = f (x), then f (x) is a non odd non even function