Moderate# Given Table, Make Decisions About Data Not in the Table

APCALC-XKWUH4

$f(x)$ is a continuous function on the interval $[-4,4]$ and a sampling of its points are given in the table below.

For which value(s) of $c$ is it possible for $f'(c) \lt 0$?

$$x \hspace{.7cm}$$ | -4 | -1 | 0.5 | 2 | 3.5 |
---|---|---|---|---|---|

$f(x)$ | 1 | -3 | -1 | 1 | -1 |

I.$c=-3.5$II.$c=-0.5$III.$c=2.5$