Q.

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)
Answer» B. f(x) = f(-x)
Explanation: 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).
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