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The graph of equation has symmetry along the x-axis or y-axis. In this lesson, the symmetry of a graph of function is defined in terms of even and odd function.
Prerequisite for this articles is listed below.
The function is even function, if for every x in domain of .
Let be a function where
Let us put some values for , see the following table of values.
|x||y = f(x)||point|
The table shows that any values is equal to .
The graph of even function is symmetric along the y-axis.
The function is odd function if for every in the domain of .
Consider the following table of points for the function .
|x||y = f(x) = x + 1||point|
The graph of odd function shows that is .
The graph of odd function is symmetric along the y-axis.