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Even and Odd Functions

even function
constant
odd function
identity
even
odd
1
x
A function
f(x)
is even if
f(x)=f(-x)
and odd if
f(x)=-f(-x)
. For example, the functions
2
x
and
3
x
are even and odd. The graph of an even function is symmetric about the
y
axis while the graph of an odd function is symmetric about the origin.
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