Math $121-$

Suppose E$($b$)$ represents the number of poople employed by a certain conppany, where $x$ is the number of years after Janury $1,1981.$ Shown below is the graph of $E^{-1}(t),$ the derivative function. The large mumbers in the graph reprosent the areas bounded by the graph and the $x-$axis.

$($a$)$ Was the number of employees increasing or decreasing at the beginning of $1997?$

$($b$)$ Was the number of employees increasing or decreasing at the boginning of $2001?$

$($c$)$ At the beginning of what year was the number of employeos decreasing the fostest?

$($d$)$ At the beginning of what year was the number of employees increasing the fasteot?

$($e$)$ At the beginning of what yoar was the number of employees the greatest?

$($f$)$ Ar the beginning of what year was the number of omployees the smallest?

$($g$)$ Was the number of employees at the boginning of $1987$ more or less than the number at the beginning of $1991?$

$($h$)$ Was the number of employees at the beginning of $1991$ more or less than the, number at the beginning of $19997$

$($i$)$ Was the number of employees at the beginning of $1987$ more or less than the number at the beginning of $1999?$

$($j$)$ If the number of employees at the beginning of $1991$ was $2000,$ how many amployees were there at the beginning of $1999?$

$($k$)$ If the number of employees at the beginning of $1991$ was $2000,$ how many employees were there at the beginning of $2005?$

What was the total change in the number of employess between the beginning of $1981$ and the beginning of $2005?$