How do you know if f(x)=x^2+sin x is an even or odd function?

1 Answer
Jan 23, 2016

f(x) is not EVEN neither ODD

Explanation:

Given f(x):

f(x) is EVEN if: f(-x)=f(x)

f(x) is ODD if:f(-x)=-f(x)

In the question:

f(x)=x^2+sin(x)

:. f(-x)=(-x)^2+sin(-x)=x^2-sin(x)!=f(x)
f(-x)!=-f(x)

=> f(x) is not EVEN neither ODD