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BITSAT2016MathematicsApplication of DerivativesActual

Consider the following statements in respect of the function f(x)=x³-1, x [-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

  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) is an increasing function in [-1,1] and it has a root in (-1,1) Only statement I is correct.

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