Chapter 2.2, Problem 24E

In figure $22$, the $t-$ axis represent the time in minutes.

a. What is $f\left(2\right)?$

b. Solve $f\left(t\right)=1$.

c. When does $f\left(t\right)$ attain its greatest value $?$

d. When does $f\left(t\right)$ attain its least value $?$

e. What is the rate of change of $f\left(t\right)$ at $t=7.5?$

f. When is $f\left(t\right)$ decreasing at the rate of $1$ unit per minute $?$ That is, when is the rate of change equal to $-1?$

g. When is $f\left(t\right)$ decreasing at the greatest rate $?$

h. When is $f\left(t\right)$ increasing at the greatest rate $?$