Question

Which polynomial function can be represented by the graph below

Last option: f(x)=2x^3+2x^2+12x

Answer 1

The correct answer option is C.
`f(x)=-2x^3-2x^2+12x`.

Explanation:

From the given graph of the polynomial function, we can see that the graph passes through the following points:
`(-3,0), (0,0)` and
`(2,0)`.

So the roots or zeros of this polynomial function are:
`-3,0` and
`2`.

Now, we'd graph the equation of the given polynomial and will check for roots and end behavior of the graph.

Therefore, the polynomial function that is represented by the graph is:

`f(x)=-2x^3-2x^2+12x`