Answer
True.
Work Step by Step
True.
The rates of change are decreasing:
$$
\begin{aligned}
& \frac{g(1)-g(-1)}{1-(-1)}=\frac{8-9}{2}=-\frac{1}{2} \\
& \frac{g(3)-g(1)}{3-1}=\frac{6-8}{2}=-1 \\
& \frac{g(5)-g(3)}{5-3}=\frac{3-6}{2}=-\frac{3}{2}
\end{aligned}
$$