Question

The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the function?

Answer 1

Assuming the choices are only of C and D, D would be the graph of the function.

Explanation:

There are many things that would cause D to be the graph of f(x).

Firstly, D has the end behavior of a
`-x^(3)` function.

Secondly, it has correct zeroes

Lastly, Its y-intercept is -24, which is the case of the function f(x) as

`f(0) = -24`