What is the polynomial function from the graph

Step-by-step explanation:

According to the graph, the function has

5 roots ⇒ x = - 3, - 2, - 1, 1, 3The function is decreasing so the leading term has negative coefficient.One of the local maximums is approximately (2, 6)The y-intercept is (0, - 1.5)

The coefficient is going to be:

- 1.5 / (3*2*3) = - 1.5/18 = - 1/12  

One possible option is:

f(x) = - 1/12 (x + 3)(x + 2)(x + 1)(x - 1)(x - 3)

See attached

69

Step-by-step explanation: