Calculus

Let f be the function defined by f(x)= x^3 + ax^2 +bx + c and having the following properties.
1. the graph of f has a point of inflection at (0,-2).
2. The average value of f(x) on the closed interval (0,-2) is -3.

Determine the values of a,b and c

  1. 👍
  2. 👎
  3. 👁
  1. f' = 3x^2 + 2ax + b
    f'' = 6x + 2a

    f''(0) = -2, so
    6*0 + 2a = -2
    a = -1

    f = x^3 - x^2 + bx + c

    Hey! (0,-2) is
    a) not a closed interval
    b) not written as [low,hi]

    Watch this space for further correct info.

    1. 👍
    2. 👎
  2. also, my value for a is bad. I'll fix it when the rest of the correction arrives.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of

  2. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and

  3. Algebra

    The function h is defined by h(x)=x^(2)-x. Find h(2x).

  4. Algebra/Math

    A function is defined as {(0,1)(2,3)(5,8)(7,2)}. Issac is tasked to create one more ordered pair for the function. Which ordered pair can he add the set to keep it a function. A. (7,0) B. (1,3) C. (0,2) D. (5,3) Please help! I'm

  1. Algebra

    The function g is defined by g(x)=3x^2+6. Find g(5y)

  2. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if

  3. Calculus

    A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

  4. algebra

    a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.

  1. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

  2. math

    1)The function f is defined by the equation f(x)+ x-x^2. Which of the following represents a quadratic with no real zeros? A)f(x) +1/2 B)f(x)-1/2 C)f(x/2) D)f(x-1/2) 2) If I^(2k) = 1, and i = radical -1, which of the following

  3. Calculus

    Let h be the function defined by the equation below. h(x)= x^3-x^2+x+6 h(-8)

  4. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola

You can view more similar questions or ask a new question.