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Math Help - Cubic Polynomial Question

  1. #1
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    Cubic Polynomial Question

    Suppose that A, B, C, and D are constants and f is the cubic polynomial f(x)=Ax^3 + Bx^2 + Cx + D. Suppose also that the tangent line to y=f(x) at x=0 is y=x and the tangent line at x=2 is given by y=2x-3. Find the values of A, B, C, and D.
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  2. #2
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    Re: Cubic Polynomial Question

    Quote Originally Posted by danielh9103 View Post
    Suppose that A, B, C, and D are constants and f is the cubic polynomial f(x)=Ax^3 + Bx^2 + Cx + D. Suppose also that the tangent line to y=f(x) at x=0 is y=x and the tangent line at x=2 is given by y=2x-3. Find the values of A, B, C, and D.
    at the point of tangency, f(x) = mx+b and f'(x) = m

    so ...

    at x = 0 , f(x) = 0 and f'(0) = 1

    at x = 2 , f(x) = 1 and f'(2) = 2

    this should give you all the info necessary for find the coefficients of f(x)
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