Answer: see below
Step-by-step explanation:
Write each equation in y = mx + b format where m is the slope and b is the y-intercept.
Left side: -4 ≤ x < -1
If you continue the line through the y-axis it will pass through (0, 4) --> b = 4
The rise over run is -1 over 1 --> m = -1
y = (-1)x + (4) --> y = -x + 4
Right side: -1 < x < 4
The line passes through (0,0) --> b = 0.
The rise over run is -1 over 1 --> m = -1
y = (-1)x + (0) --> y = -x
[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]
