How to Tell if a Function Is Odd or Even?

Replace x with -x in the function

Compare f(-x) with f(x)

The function is even if f(-x) = f(x)

The function is odd if f(-x) = -f(x)

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

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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