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Even functions

Is f(x)=sinxf(x)=\sin x even or odd function?


Is the sentence true or false?

Absolute value functions in the form f(x)=ax+cf(x)=a|x|+c  is an even function.

True or false : Absolute value functions in the form f(x)=xf(x)=|x| is an even function.

Is f(x)=sinx+x3f(x)=\sin x+x^3  even or odd function?


Is f(x)=x2f(x)=x^2 even or odd function?


True or false : The sum of two even functions is odd function.

Is the sentence true or false?

The product of two even functions is odd function.

Is f(x)=x2+1f(x)=x^2+1 even or odd function?

Is f(x)=cosxf(x)=\cos x even or odd function?


Is f(x)=cosxf(x)=\cos x even or odd function?