# Math Help - Calculus AP Question

1. ## Calculus AP Question

Let f be 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

* Find the values of a, b, and c*

2. Originally Posted by meg24209
Let f be 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)
Inflection points are found takin' the second derivative of the function and equal it to zero, can you do that?

Originally Posted by meg24209
2) the average value of f(x) on the closed interval [0,-2] is -3
You need to compute $\frac{1}
{{0 + 2}}\int_{ - 2}^0 {\left( {x^3 + ax^2 + bx + c} \right)\,dx} = - 3.$