SOLUTION: Define odd and even symmetry (3 important points each)

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Question 1141866: Define odd and even symmetry (3 important points each)
Answer by ikleyn(52921) About Me  (Show Source):
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DEFINITION. 



A function f is even if the graph of f is symmetric with respect to the y-axis. 

Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.




A function f is odd if the graph of f is symmetric with respect to the origin. 

Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.