(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t< 00≤t< 11≤t< 7t≥7; f(t)={0,t< 0−5,0≤t< 1−6,1≤t< 76,t≥7; 1. write the function in terms of unit step function

Recall that



Take it one piece at a time. For , we can scale by -5:



If we shift the argument by 1 and scale by -5, we have



so if we subtract this from , we'll end up with



For the next piece, we can add another scaled and shifted step like



so that



For the last piece, we add one more term:



and so putting everything together, we get :

Ithink it is 7. 16