A function f(x) is even, when?

Gopal Sharma • 38.32K Points
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Q. A function f(x) is even, when?

(A) f(x) = -f(x)

(B) f(x) = f(-x)

(D) f(x) = f(x)f(-x)

Correct : Option (B)

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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