`f(x) ={{:({x}",",, -2le xlt -1), (|"sgn "x|",",,-1le xle1), ({-x}",",, 1lt x le 2):}`
`" "={{:(x+2",",, -2 lex lt -1), (1",",, -1 le x lt 0","), (0",",, x=0),(1",",, 0lt x le 1), (-x+2",",, 1 lt x le 2):}`
The graph fo the function is as shown in the following figure.
`" "` Area `=(2+4)/(2) xx1= 3` sq. units