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Let f(x)={(|x|,for 0<|x|lt=2), (1,"for"x...

`Let f(x)={(|x|,for 0<|x|lt=2), (1,"for"x=0):}` Then at x=0, f(x) has
(a) a local maximum
(b) no local maximum
(c) a local minimum
(d) no extremum

A

a local maximum

B

no local maximum

C

a local minimum

D

no extremum

Text Solution

Verified by Experts

The correct Answer is:
1

From the graph `f(0^(+))ltf(0^(+))and f(0^(-))lt0` Thus x=0 is the point of maxima
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