Let a function be defined by g$($t$)=$ tri$($t$).$ Below are four other functions based on this function.

All of them are zero for large negative value of t$.$

g$1($t $)=5$g$((2$t$)/6)$

g$2($t $)=7$g$(3$t$)4$g$($t $4)$

g$3($t $)=$ g$($t$+2)4$g$(($t $+4)/3)$

g$4($t $)=5$g$($t$)$g$($t $1/2)$

a$)$ Which of these functions is first to become nonzero $($becomes nonzero at the earliest times$)?$

b$)$ Which of these functions is the last to go back to zero and stay these?

c$)$ Which of these functions has a maximum value that is greater than all the other maximum values of all other functions?

d$)$ Which of these functions has a minimum value that is less than all the other minimum values of all other functions?

Deliverables:

a$)$ The MATLAB code for problem$/$subproblem$.$

b$)$The output for each code.

c$)$ Check if each result is accurate.

d$)$ Lessons learned from this lab.