Question

Which polynomial function can be represented by the graph below

Answer 1

Answer:

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

Step-by-step 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:

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