### Home > CALC > Chapter 11 > Lesson 11.4.1 > Problem11-131

11-131.

Multiple Choice: $f(x)$, shown below, is twice differentiable. Examine the graph and decide which statement below is true.

1. $f ( 2 ) < f ^ { \prime } ( 2 ) < f ^ { \prime \prime } ( 2 )$

2. $f ( 2 ) < f ^ { \prime \prime } ( 2 ) < f ^ { \prime } ( 2 )$

3. $f ^ { \prime } ( 2 ) < f ( 2 ) < f ^ { \prime \prime } ( 2 )$

4. $f ^ { \prime \prime } ( 2 ) < f ( 2 ) < f ^ { \prime } ( 2 )$

5. $f ^ { \prime \prime } ( 2 ) < f ^ { \prime } ( 2 ) < f ( 2 )$

$f(2) = 0$
$f^\prime(2) =$ slope at $x = 2$ (positive or negative?)
$f^{\prime\prime}(2) =$ concavity at $x = 2$ (up or down?)