$\newenvironment {prompt}{}{} \newcommand {\ungraded }{} \newcommand {\HyperFirstAtBeginDocument }{\AtBeginDocument }$

A function $f(x)$ is defined for $x$-values between 0 and 8. The graph below shows a graph of the derivative of $f(x)$.

1. Point A corresponds to a
local minimum of $f(x)$ local maximum of $f(x)$ neither a local max nor a min of $f(x)$ you can’t tell without more information
2. Point B corresponds to a
local minimum of $f(x)$ local maximum of $f(x)$ neither a local max nor a min of $f(x)$ you can’t tell without more information
3. Point C corresponds to a
local minimum of $f(x)$ local maximum of $f(x)$ neither a local max nor a min of $f(x)$ you can’t tell without more information
4. Point D corresponds to a
local minimum of $f(x)$ local maximum of $f(x)$ neither a local max nor a min of $f(x)$ you can’t tell without more information
5. Point E corresponds to a
local minimum of $f(x)$ local maximum of $f(x)$ neither a local max nor a min of $f(x)$ you can’t tell without more information
6. Which point corresponds to a global minimum of $f(x)$?
A B C D E None of these points you can’t tell without more information