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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let the function f be defined by f(x) = cases p + qx + x^2 & , x < 2 2px + 3qx^2 & , x 2 cases . Then :

Options

  1. Af(x) is continuous in R if 3p + 10q = 4
  2. Bf(x) is differentiable in R if p = q = 4 13
  3. CIf p = -2, q = 1 , then f(x) is continuous in R
  4. Df(x) is differentiable in R if 2p + 11q = 4

Correct answer

A. f(x) is continuous in R if 3p + 10q = 4

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