The graph of $f(t)$ is given below:
(Click on graph to enlarge)

1. Represent $f(t)$ using a combination of Heaviside step functions. Use $h(t-a)$ for the Heaviside function shifted $a$ units horizontally.
   
   $f(t) =$ help (formulas)
   
   
2. Find the Laplace transform $F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace$ for $s \neq 0$.
   
   $\displaystyle F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace =$ help (formulas)