Question

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

a. The graph of the function is positive on (–6, –2).
b. The graph of the function is negative on (-infinity, 0).
c. The graph of the function is positive on (–2, 4).
d. The graph of the function is negative on (4,infinity).

Answer 1

The right answer for the question that is being asked and shown above is that: "b. The graph of the function is negative on (-infinity, 0)." If the function has a positive leading coefficient and is of odd degree, the statement about the graph is true is that the graph of the function is negative on (-infinity, 0).