Question

Make a line graph of the data in the table and conjecture on the minimum degree of a polynomial model...

Answer 1

When you plot the given points, you obtain the graph attached. As you can see, the function has two turning points, so:

 Minimum degree=(2 turning points)+1=3

 Therefore, the minimum degree of a polynominal model is 3, and it can be expressed as below:

 f(x)=ax³+bx+cx+d

 The answer is:3