Draw it in "parts" just as it is given. f(x)= -x- 2 is a straight line so determined by two points. Since we only want this for -4<= x<= -1, evaluate at those end points. f(-4)= -(-4)- 2= 4- 2= 2 and f(-1)= -(-1)- 2= -1. Draw a line between the points (-4, 2) and (-1, -1).

For x between -1 and 1, f(x)= -1 is a constant function: long as x is between -1 and 1, y= -1. Draw the horizontal line from (-1, -1) to (1, -1).

For between 1 and 2, f(x)= x- 2. That is again a linear function. f(1)= 1- 2= -1 and f(2)= 2- 2= 0 so draw the line from (1, -1) to (2, 2).

The entire graph is the "broken line" made of those three line segments.