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KCET2017MathematicsContinuity and Differentiability

The function ( f(x)=x²+2 x-5 ) is strictly increasing in the interval

Options

  1. A( (-1, ) )
  2. B((- ,-1) )
  3. C( [-1, ) )
  4. D( (- ,-1) )

Correct answer

C. ( [-1, ) )

Step-by-step solution

Given function, f(x)=x²+2 x-5 We know that, for strictly increasing function f^ (x)>0 So, 2 x+2>0 x>-1 Therefore, function f(x)=x²+2 x-5 is strictly increasing in the interval x [-1, )

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