How To Know If A Function Is Even Or Odd?

Replace x with -x in the function

Simplify the result

If f(-x) = f(x), the function is even

If f(-x) = -f(x), the function is odd

If neither condition is true, the function is neither even nor odd

Check the graph for symmetry about the y-axis for even functions

Check the graph for symmetry about the origin for odd functions

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