Polynomial functions can model situations that change directions multiple times. What is a situation in which a polynomial model might make sense and why?

While there are some very sophisticated physics analysis and even crypto currency calculations that use cubic equations, for this answer, probably the only answer that makes sense is trying to optimize the shape (use the least materials) of a box. the volume is Len x width x height...

that would produce a cubic equation to optimize  

Step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.