For |x+1| critical point, x+1=0⇒x=−1 For |x+2| critical point, x+2=0⇒x=−2 For |x+3| critical point, x+3=0⇒x=−3 For |x+4| critical point, x+4=0⇒x=−4 For |x+5| critical point, x+5=0⇒x=−5
Here maximum function is represent by the dotted line. ∴ Point of intersection A of line y=−x−1 and y=x+5 : −x−1=x+5 ⇒2x=−6 ⇒x=−3 ∴y=−3+5=2 ∴ Point A=(−3,2) ∴