1D linear advection equation initial conditions

I am new to Matlab and I got an exercise which I don't know how to approach.

In order to solve the 1D linear advection equation, I make use of the Lax-Friedrichs flux.

With

% initial condition, exact final solution

u0 = 1.0*(x<0.2);

uf = 1.0*(x>T&x<T+.2);

Now I need to adapt this model to work with another set of initial conditions, depending on x, namely

Perhaps someone can help me by using an example or so.

Thanks for explaining and helping on beforehand.