Problem #$3$ PLEASE inlclue MATLAB Code

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 $t.$

$g_1(t)=-5g(\frac{2-t}{6})$

$g_2(t)=7g(3t)-4g(t-4)$

$g_3(t)=g(t+2)-4g(\frac{t+4}{3})$

$g_4(t)=-5g(t)g(t-\frac{1}{2})$

a$)$ Which of these function 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 function?

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

of all other function?

Deliverables:

e$.$ The MATLAB code for problem$/$subproblem

f$.$ The output for each code.

g$.$ Check if each result is accurate.

h$.$ Lessons learned from this lab.