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Question

Let f(x)=⎪ ⎪⎪ ⎪x+2,1x<01,x=0x2,0<x1
Then in [1,1], this function has

A
a minimum
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B
a maximum
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C
either a maximum or a minimum
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D
neither a maximum nor a minimum
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Solution

The correct option is D neither a maximum nor a minimum
f(0)>f(0+) and f(0)<f(0). Hence, x=0 is neither a maximum nor a minimum

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