SOLUTION: Explain what is meant by even and odd functions, and describe an algebraic test to determine whether a function is even or odd.
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Question 64615: Explain what is meant by even and odd functions, and describe an algebraic test to determine whether a function is even or odd. Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! Explain what is meant by even and odd functions, and describe an algebraic test to determine whether a function is even or odd.
IF F(X) = F(-X)....THE FUNCTION IS CALLED EVEN FUNCTION.
EX...F(X)=X^2
F(-X) = (-X)^2 = X^2 = F(X)....HENCE THE FUNCTION IS EVEN
IF F(X) = -F(-X)......THE FUNCTION IS CALLED ODD FUNCTION.
EX..F(X)=X^3
F(-X)=(-X)^3=-X^3=-F(X)....HENCE THE FUNCTION IS ODD
