Question

Determine whether each function is even, odd, or neither: y= x^3 sinx

Answer 1

\[y=x^3 \sin x\]
y is
the product of an odd function and an odd function
is even function

Answer 2

thus function is even because y=(-x)^3*sin(-x) = -x^3(-sinx) = x^3(sinx) therefore f(x) = f(-x)