1.

A function f(x) is even, when?(a) f(x) = -f(x)(b) f(x) = f(-x)(c) f(x) = -f(x)f(-x)(d) f(x) = f(x)f(-x)This question was addressed to me during an interview.Enquiry is from Channel in portion Elements of Communication System of Analog Communications

Answer»

The correct answer is (b) f(X) = f(-x)

For explanation I WOULD say: Geometrically a function f(x) is EVEN, if plot of the function is symmetric over y-axis. ALGEBRAICALLY, for any function f(x) to be even, f(x) = f(-x).

While for a function f(x) to be ODD, f(x) = -f(-x).



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