Apolynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. if the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

We are given a polynomial function has :

A root of –3 (multiplicity 2).

Therefore, one factor would be (x+3)^2

A root of 0 with multiplicity 1.

Therefore another factor is x.

A root of 1 with multiplicity 1.

Therefore another factor is (x-1).

A root of 3 with multiplicity 2.

Therefore, another factor would be (x-3)^2

Therefore,  polynomial function would

So, the graph of the function would look like as attachment:

look at photo