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Question

Question: f(x) = x<sup>2</sup>− 4\|x\| and g(x) = <img src="https://cdn.pureessence.tech/canvas_583.png?top_l...

f(x) = x2− 4|x| and g(x) =

, then f(x) has

A

Exactly one point of local minima

B

Exactly one point of local maxima

C

No point of local maxima but exactly one point of local minima

D

)Neither a point of local maxima nor minima

Explanation

Solution

)

Sol. Bold line represents the graph of y = g(x) clearly g(x) has neither a point of local maxima nor a point of local minima.