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Consider the following statements in respect of the function $f(x)=x^{3}-1, x \in[-1,1]$
I. $f(x)$ is increasing in [-1,1]
II. $f(x)$ has no root in (-1,1) .
Which of the statements given above is/are correct?
Options:
I. $f(x)$ is increasing in [-1,1]
II. $f(x)$ has no root in (-1,1) .
Which of the statements given above is/are correct?
Solution:
2502 Upvotes
Verified Answer
The correct answer is:
Only I
Since $f(x)$ is an increasing function in [-1,1] and it has a root in (-1,1) $\therefore \quad$ Only statement $I$ is correct.
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