Question

Determine whether the given function is even, odd, or neither f(x)=2x+x^3

Answer 1

Explanation:

A function is even if f(x) = f(-x), so in this case, f(x) and f(-x) are equal to:

$f(x)=2x+x^3$$\begin{gathered} f(-x)=2(-x)+(-x)^3 \\ f(-x)=-2x-x^3 \end{gathered}$