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MHT CET202012 Oct 2020Morning ShiftMathematicsContinuity and DifferentiabilityActual

If aligned f(x) &=6 -3 x, if -4 x < -2 &=4 x+1, if -2 x 2 aligned is continuous on [-4,2] , then + =

Options

  1. A-7 6
  2. B4 7
  3. C-4 7
  4. D7 6

Correct answer

A. -7 6

Step-by-step solution

_ x -2⁻ f(x)= _ x -2⁻ (6 -3 x)=6 +6 ...(1) _ x -2⁺ f(x)= _ x -2⁺ (4 x+1)=-7 ...(2) Given f(x) is continuous on [-4,2] 6 +6 =-7 + = -7 6

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