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+1 vote

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

asked in Calculus by (69 points) | 95 views

2 Answers

+2 votes

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

answered by Loyal (9.7k points)
But at 0 it's neither maxima nor minima.. Right??
See the graph at x=0 which has minima but graph does not have maxima
0 votes

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.

answered by (193 points)
edited by

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