Answer
Neither
Work Step by Step
To find out if the function is even, odd, or neither, we find $G(−x)$ and compare the result to $G(x)$:
$G(x)=1-x+x^{3}$
$G(-x)=1-(-x)+(-x)^{3}$
$=1+x-x^{3}$
This does not equal $-G(x)$ or $G(x)$. Thus, $G(x)$ is neither even or odd.