1. The problem statement, all variables and given/known data The function f(t) is defined for t>=0 by f(t) = 1 for 0<= t <= 1 , t-2 for 1 <=t <= 2 and 0 for t >2 Express f(t) in terms of the Heaviside function and hence or otherwise find L(f(t)), the Laplace transform of f(t) 2. Relevant equations 3. The attempt at a solution So i figured out the Heaviside function is f(t) = u (t) - (t-2)u(t-2) + u(t-2) Is the above function right? One more thing, how do u figure out the signs like how do u know it is u(t-2) instead of -u(t-2)? So to find L(f(t) how do u do do that. I know that u(t) has to be changed to something else but thing is I have no idea how to manipulate these kind of functions. Please do offer help. Thanks.