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BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Mathematics
Chapter
Application of Derivatives

BITSAT 2016 · Mathematics · Application of Derivatives

Consider the following statements in respect of the function...

Consider the following statements in respect of the function f(x)=x3−1,x∈[−1,1]f(x)=x^{3}-1, x \in[-1,1] I. f(x)f(x) is increasing in [-1,1] II. f(x)f(x) has no root in (-1,1). Which of the statements given above is/are correct?

Options

  1. AOnly I
  2. BOnly II
  3. CBoth I and II
  4. DNeither I nor II

Correct answer

A. Only I

Step-by-step solution

Since f(x)f(x) is an increasing function in [-1,1] and it has a root in (-1,1) ∴\therefore \quad Only statement II is correct.
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