What is the difference between f(−x) and −f(x) in terms of their graphs?
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What is the difference between f(−x) and −f(x) in terms of their graphs?
The graph of f(−x) is the mirror image of the graph of f(x) with respect to the vertical axis.
The graph of −f(x) is the mirror image of the graph of f(x)
with respect to the horizontal axis.
A function is called even if f(x)=f(−x)
for all x (For example, cos(x)).
A function is called odd if −f(x)=f(−x) for all x (For example, sin(x)).