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{{ printedBook.courseTrack.name }} {{ printedBook.name }} If a function has a symmetry, it is either *even* or *odd*. The symmetry is even when the graph is symmetric with respect to the $y$-axis.

If a function has even symmetry, the following rule applies: $f(\text{-} x)=f(x).$ The rule comes from the fact that even symmetry is a reflection across the $y$-axis. Therefore, changing the sign of the $x$-value does not affect the function value.

The concept applies both ways. Hence, if the rule is true for the entire domain, the function has even symmetry.