Math $121-4\mathrm{.}9$

Suppose E$($l$)$ represents the number of people employed by a certain company, where $x$ is the number of years after January $1,1981.$ Shows bolow is the graph of $E^{-1}(t),$ the derivative function. The large numbers in the graph represent 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 employes decreasing tha festest?

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

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

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

$($g$)$ Was the number of employees at the beginning 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, rumber at the boginning of $1999?$

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

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

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

$($I$)$ What was the total change in the number of employoes between the beginning of $1981$ and the beginning of $2005?$