Answer
The product of an odd function and an even function is odd.
Work Step by Step
Let f(x) be an odd function and g(x) be an even function.
Then, f(-x)=-f(x) and g(-x)=g(x).
So, (fg)(-x)=(f(-x))(g(-x))=(-f(x))(g(x))=-(fg)(x).
So, the product of an odd function and an even function is odd.
