Question

Determine whether the graph could be the graph of a polynomial function. If it could be, list the real zeros and state the least degree the polynomial can have.

Answer 1

From the graph we observe that,

The given graph is of a polynomial function.

Its real zeros are,

-4, 3 and 5.

Since, the graph crosses or touches the x axis thrice.

So, the degree of the polynomial is atleast 3.