### Home > CALC > Chapter 11 > Lesson 11.3.1 > Problem11-100

11-100.

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

$f(2) =$ ?
$f(2)$ is a maximum, so $f^\prime(2) =$ ?
The graph is concave down, so $f^{\prime\prime}(2)$ is ____.