Given f(x)=x and g(x)=cos(x)
Identify which of y=f(x), y=g(x), y=f(x)⋅g(x), are even functions and which are odd functions
x is odd because f(-x) = -f(x)
cosx is even because f(-x) = f(x)
even*even = even
even*odd = odd
odd*odd = even
Identify which of y=f(x), y=g(x), y=f(x)⋅g(x), are even functions and which are odd functions
cosx is even because f(-x) = f(x)
even*even = even
even*odd = odd
odd*odd = even