jee-advanced 2013 Q44

jee-advanced · India · paper2 Modulus function Graphing functions involving modulus
The function $f ( x ) = 2 | x | + | x + 2 | - | | x + 2 | - 2 | x | |$ has a local minimum or a local maximum at $x =$
(A) $- 2$
(B) $\frac { - 2 } { 3 }$
(C) $2$
(D) $\frac { 2 } { 3 }$
The function $f ( x ) = 2 | x | + | x + 2 | - | | x + 2 | - 2 | x | |$ has a local minimum or a local maximum at $x =$

(A) $- 2$

(B) $\frac { - 2 } { 3 }$

(C) $2$

(D) $\frac { 2 } { 3 }$