Question

The function f(x) = 2|x| + |x + 2| – ||x + 2| – 2|x|| has a local minimum and local maximum at x =

(a) –2

(b) – 2/3

(c) 2

(d) 2/3

Answer 1

Correct option  (a, b)

Explanation:

Given f(x) = 2|x| + |x + 2| – ||x + 2|– 2|x||

= min{2|x|, |x + | 2}

 

From the graph, it is clear that, f(x) has minimum value at x = – 2, 0 and maximum value at x = – 2/3.