Even/odd function checker
Check whether a function is even (symmetric about y-axis), odd (symmetric about origin), or neither.
f(x) =
Definitions
Even function: f(−x) = f(x) for all x. Graph is symmetric about the y-axis. Examples: x², cos(x), |x|.
Odd function: f(−x) = −f(x) for all x. Graph is symmetric about the origin. Examples: x³, sin(x), tan(x).
Neither: Most functions are neither. Example: x² + x.
Quick test
Substitute −x for x. If the result equals f(x), it's even. If it equals −f(x), it's odd. Otherwise, neither.
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