Even and Odd Function

Properties OF Even & Odd function & Illustration

Prove that the product of two even or two odd functions is an even function, whereas the product of an even and an odd function is an odd function.

Question based on Value OF function || Even / odd function ||Illustration

Question based on Value OF function , Even / odd function ,Illustration

Statement-1: Every function can be uniquely expressed as the sum of an even function and an odd function. Statement-2: The set of values of parameter a for which the functions f(x) defined as f(x)=tan(sinx)+[(x^(2))/(a)] on the set [-3,3] is an odd function is , [9,oo)

Prove that the derivative of an even function is an odd function and that of an odd function is an even function.

f(x)=sgn(x)+x^(2) Determine,whether even or odd function