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UPSC NDA I 2011 Mathematics Paper

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Question : 2

Total: 120

Consider the following statements in respect of the function
f(x)=x3−1,x∈[−1,1]
1. f(x) is increasing in [−1,1]
2. f(x) has no root in (−1,1)
Which of the statements given above is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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