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AP® Calculus AB-BC

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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. $c=2.5$

A

I only

B

I and III only

C

II and III only

D

I, II, and III