How to determine algebraically even and odd functions

A graph is symmetric over the y-axis, the graph therefore, represents an even function. - Similarly, a graph represents an odd function if a graph is symmetric over the origin. - Also, the graph of an even function has a negative x-value (-x, y) corresponding to every original x-value. It also has the same y-values (x, y) for each. ... - Finally,the graph of an odd function has negative values of x and y (-x, -y) that correspond to x and y values (x, y). ...

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