f(x)=

3/2x+ 9/2, if x<-1 -1 if x -1

 Since the line that goes downward's slope is 9/2x and go lowe from 9/2, the equation should be 3/2x+9/2, if x<-1

Since the line that goes to right begins with close do, and horizontal, the slope is 0 and therefore equation has to be -1 if x-1

f(x)=

1, if -1<x0 2, if -2<x-1 3, if -3<x-2 4, if -4<x-3 5, if -5<x-4

Since the line (-1,1)  begins with solid dot,  it is < and therefore x is less than or equal to zero.

Since the line (-2,2) is solid dot, and (-1,2) is close dot x is greater than -2 but less than or equal to -1

The rest of the lines are as same reason as previous reasons.