let f be a function defined by: f(x) = x^2, for x <= 1 f(x) = ax^2 + bx + c,…

let f be a function defined by:

f(x) = x^2, for x <= 1

f(x) = ax^2 + bx + c, for 1 < x <= 2

f(x) = x + d, for x > 2

find the values of a, b, c and d so that f is continuous and differentiable everywhere on the real line.

  1. A.

    a = -0.5, b = 3, c = -1.5, d = 0.5

  2. B.

    a = -1, b = 1, c = 1, d = 1

  3. C.

    a = -2, b = 1, c = -1.5, d = 0.5

  4. D.

    None of These

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