Consider the following statements in respect of the function f(x)=x^3-1, x \in[-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?

UPSC NDA I 2011 Mathematics Paper

Question : 2 of 120

Marks: +1, -0

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

Validate

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