How to solve

$8\mathrm{.}7.$ Determine the $z-$transform of each signal listed below, and indicate the ROC. Use linearity, time shifting and time reversal properties of the $z-$transform when needed.

a$.,x[n]=[n+2]$

b$.,x[n]=[n-3]$

c$.,x[n]=(\frac{1}{2}{)}^{n}u[n]$

d$.,x[n]=(\frac{1}{2}{)}^{n}u[n]+(\frac{1}{3}{)}^{n}u[n]$

e$.x[n]=(\frac{1}{2}{)}^{n-1}u[n-1]$

f$.,x[n]=(\frac{1}{2}{)}^{n-1}u[n]$

g$.,x[n]=(\frac{1}{2}{)}^{n+1}u[n]$

h$.,x[n]=(3{)}^{n}u[-n-1]$

i$.,x[n]=(3{)}^{n}u[-n+1]$