Answer
$\text{(b)}$
Work Step by Step
Replace $x$ with $-x$ to obtain:
\begin{align*}
f(-x)&=4(-x)^4-2(-x)^3+7(-x)-2\\
&=4x^4+2x^3-7x-2
\end{align*}
Note that the above function has only one sign change.
Thus, the answer is Option $\text{(b)}$.
