How Ans. A is correct

Question

At x = 0, the function f(x)=|x| has

(A) a minimum

(B) a maximum

(C) a point of inflection

(D) neither a maximum nor minimum

Answer 1

At x=0 |x| is not differentiable but x =0 it has min value which will be zero 

Comments

But at 0 it's neither maxima nor minima.. Right??

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See the graph at x=0 which has minima but graph does not have maxima

Answer 2

The function is as follow:

By minima, we mean global minima which is at x=0.

Note: Point of inflection is a point where sign of curve changes.